Online GCD Calculator is useful to find the GCD of 956, 878, 700, 774 quickly. Get the easiest ways to solve the greatest common divisor of 956, 878, 700, 774 i.e 2 in different methods as follows.
Given Input numbers are 956, 878, 700, 774
In the factoring method, we have to find the divisors of all numbers
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
GCD of numbers is the greatest common divisor
So, the GCD (956, 878, 700, 774) = 2.
Given numbers are 956, 878, 700, 774
The list of prime factors of all numbers are
Prime factors of 956 are 2 x 2 x 239
Prime factors of 878 are 2 x 439
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 774 are 2 x 3 x 3 x 43
The highest common occurrence is 21
Therefore, GCD of 956, 878, 700, 774 is 2.
Given numbers are 956, 878, 700, 774
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(956, 878) = 419684
GCD(956, 878) = ( 956 x 878 ) / 419684
= 956 / 878
= 956
Step2:
LCM(2, 700) = 700
GCD(2, 700) = ( 2 x 700 ) / 700
= 2 / 700
= 2
Step3:
LCM(2, 774) = 774
GCD(2, 774) = ( 2 x 774 ) / 774
= 2 / 774
= 2
So, Greatest Common Divisor of 956, 878, 700, 774 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 956, 878, 700, 774
The greatest common divisor of numbers 956, 878, 700, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 878, 700, 774 is 2.
1. What is the GCD of 956, 878, 700, 774?
GCD of given numbers 956, 878, 700, 774 is 2
2. How to calculate the greatest common divisor of 956, 878, 700, 774?
We can find the highest common divisor of 956, 878, 700, 774 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 956, 878, 700, 774 i.e 2.
3. How can I use the GCD of 956, 878, 700, 774Calculator?
Out the numbers 956, 878, 700, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.