GCD of 952, 686, 344, 764 Calculator

Given Input numbers are 952, 686, 344, 764

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (952, 686, 344, 764) = 2.

Given numbers are 952, 686, 344, 764

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 686 are 2 x 7 x 7 x 7

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 952, 686, 344, 764 is 2.

Given numbers are 952, 686, 344, 764

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(952, 686) = 46648

GCD(952, 686) = ( 952 x 686 ) / 46648

= 952 / 686

= 952

Step2:

LCM(14, 344) = 2408

GCD(14, 344) = ( 14 x 344 ) / 2408

= 14 / 344

= 14

Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

So, Greatest Common Divisor of 952, 686, 344, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 600, 891, 591
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• GCD of 975, 447, 971, 183

Given numbers are 952, 686, 344, 764
The greatest common divisor of numbers 952, 686, 344, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 686, 344, 764 is 2.

1. What is the GCD of 952, 686, 344, 764?

GCD of given numbers 952, 686, 344, 764 is 2

2. How to calculate the greatest common divisor of 952, 686, 344, 764?

We can find the highest common divisor of 952, 686, 344, 764 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, 686, 344, 764 i.e 2.

3. How can I use the GCD of 952, 686, 344, 764Calculator?

Out the numbers 952, 686, 344, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.