How do you do Euclidean method?
The Euclidean Algorithm for finding GCD(A,B) is as follows:
- If A = 0 then GCD(A,B)=B, since the GCD(0,B)=B, and we can stop.
- If B = 0 then GCD(A,B)=A, since the GCD(A,0)=A, and we can stop.
- Write A in quotient remainder form (A = B⋅Q + R)
- Find GCD(B,R) using the Euclidean Algorithm since GCD(A,B) = GCD(B,R)
What is meant by Euclidean algorithm?
: a method of finding the greatest common divisor of two numbers by dividing the larger by the smaller, the smaller by the remainder, the first remainder by the second remainder, and so on until exact division is obtained whence the greatest common divisor is the exact divisor.
How do you calculate Euclid’s algorithm?
The Euclidean algorithm is a way to find the greatest common divisor of two positive integers, a and b. First let me show the computations for a=210 and b=45. Divide 210 by 45, and get the result 4 with remainder 30, so 210=4·45+30. Divide 45 by 30, and get the result 1 with remainder 15, so 45=1·30+15.
What is the GCF for 15 and 6?
3
What is the GCF of 36 24?
12
What is the GCF of 27 and 66?
What is the GCF of 38 9 and 6?
1
What is the GCF of 30 and 24?
6
What’s the GCF of 32 and 24?
8
What is the HCF of 12 and 15?
As visible, 12 and 15 have only one common prime factor i.e. 3. Hence, the HCF of 12 and 15 is 3.
What is the GCF of 24 32 and 36?
Greatest Common Factor We found the factors 16,24,32,36 . The biggest common factor number is the GCF number. So the greatest common factor 16,24,32,36 is 4.
What is the GCF of 18 and 26?
2
What is the LCM of 16 18 and 24?
Answer: LCM of 16, 18, and 24 is 144.
What is the GCF of 72 and 24?
Common Factors of 72 and 24: 1, 2, 3, 4, 6, 8, 12 and 24 the biggest common factor is the GCF of 72 and 24. GCF of 72 and 24 is 24.
Whats the HCF of 72 and 96?
24
What is the HCF of 168 and 196?
The Greatest Common Factor (GCF) for 168 and 196, notation CGF(168,196), is 28.