Online GCD Calculator is useful to find the GCD of 772, 964, 274, 688 quickly. Get the easiest ways to solve the greatest common divisor of 772, 964, 274, 688 i.e 2 in different methods as follows.
Given Input numbers are 772, 964, 274, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (772, 964, 274, 688) = 2.
Given numbers are 772, 964, 274, 688
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 964 are 2 x 2 x 241
Prime factors of 274 are 2 x 137
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 772, 964, 274, 688 is 2.
Given numbers are 772, 964, 274, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 964) = 186052
GCD(772, 964) = ( 772 x 964 ) / 186052
= 772 / 964
= 772
Step2:
LCM(4, 274) = 548
GCD(4, 274) = ( 4 x 274 ) / 548
= 4 / 274
= 4
Step3:
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
= 2 / 688
= 2
So, Greatest Common Divisor of 772, 964, 274, 688 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 964, 274, 688
The greatest common divisor of numbers 772, 964, 274, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 964, 274, 688 is 2.
1. What is the GCD of 772, 964, 274, 688?
GCD of given numbers 772, 964, 274, 688 is 2
2. How to calculate the greatest common divisor of 772, 964, 274, 688?
We can find the highest common divisor of 772, 964, 274, 688 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 772, 964, 274, 688 i.e 2.
3. How can I use the GCD of 772, 964, 274, 688Calculator?
Out the numbers 772, 964, 274, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.