GCD of 916, 952, 117, 343 Calculator

Given Input numbers are 916, 952, 117, 343

In the factoring method, we have to find the divisors of all numbers

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

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 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (916, 952, 117, 343) = 1.

Given numbers are 916, 952, 117, 343

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 117 are 3 x 3 x 13

Prime factors of 343 are 7 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 916, 952, 117, 343

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

Apply this formula for all numbers.

Step1:

LCM(916, 952) = 218008

GCD(916, 952) = ( 916 x 952 ) / 218008

= 916 / 952

= 916

Step2:

LCM(4, 117) = 468

GCD(4, 117) = ( 4 x 117 ) / 468

= 4 / 117

= 4

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 916, 952, 117, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 826, 108, 948
• GCD of 210, 529, 926, 769
• GCD of 687, 727, 153, 256
• GCD of 688, 955, 749, 689
• GCD of 363, 398, 892, 879

Given numbers are 916, 952, 117, 343
The greatest common divisor of numbers 916, 952, 117, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 952, 117, 343 is 1.

1. What is the GCD of 916, 952, 117, 343?

GCD of given numbers 916, 952, 117, 343 is 1

2. How to calculate the greatest common divisor of 916, 952, 117, 343?

We can find the highest common divisor of 916, 952, 117, 343 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 916, 952, 117, 343 i.e 1.

3. How can I use the GCD of 916, 952, 117, 343Calculator?

Out the numbers 916, 952, 117, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.