Online GCD Calculator is useful to find the GCD of 952, 402, 706, 956 quickly. Get the easiest ways to solve the greatest common divisor of 952, 402, 706, 956 i.e 2 in different methods as follows.
Given Input numbers are 952, 402, 706, 956
In the factoring method, we have to find the divisors of all numbers
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
GCD of numbers is the greatest common divisor
So, the GCD (952, 402, 706, 956) = 2.
Given numbers are 952, 402, 706, 956
The list of prime factors of all numbers are
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 402 are 2 x 3 x 67
Prime factors of 706 are 2 x 353
Prime factors of 956 are 2 x 2 x 239
The highest common occurrence is 21
Therefore, GCD of 952, 402, 706, 956 is 2.
Given numbers are 952, 402, 706, 956
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(952, 402) = 191352
GCD(952, 402) = ( 952 x 402 ) / 191352
= 952 / 402
= 952
Step2:
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
= 2 / 706
= 2
Step3:
LCM(2, 956) = 956
GCD(2, 956) = ( 2 x 956 ) / 956
= 2 / 956
= 2
So, Greatest Common Divisor of 952, 402, 706, 956 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 952, 402, 706, 956
The greatest common divisor of numbers 952, 402, 706, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 402, 706, 956 is 2.
1. What is the GCD of 952, 402, 706, 956?
GCD of given numbers 952, 402, 706, 956 is 2
2. How to calculate the greatest common divisor of 952, 402, 706, 956?
We can find the highest common divisor of 952, 402, 706, 956 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 952, 402, 706, 956 i.e 2.
3. How can I use the GCD of 952, 402, 706, 956Calculator?
Out the numbers 952, 402, 706, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.