GCD of 976, 359, 460, 659 Calculator

Given Input numbers are 976, 359, 460, 659

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

GCD of numbers is the greatest common divisor

So, the GCD (976, 359, 460, 659) = 1.

Given numbers are 976, 359, 460, 659

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 359 are 359

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 659 are 659

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

Given numbers are 976, 359, 460, 659

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

Apply this formula for all numbers.

Step1:

LCM(976, 359) = 350384

GCD(976, 359) = ( 976 x 359 ) / 350384

= 976 / 359

= 976

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

= 1 / 659

= 1

So, Greatest Common Divisor of 976, 359, 460, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 637, 242, 261
• GCD of 150, 214, 740, 299
• GCD of 813, 851, 973, 173
• GCD of 145, 949, 634, 962
• GCD of 653, 958, 325, 585

Given numbers are 976, 359, 460, 659
The greatest common divisor of numbers 976, 359, 460, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 359, 460, 659 is 1.

1. What is the GCD of 976, 359, 460, 659?

GCD of given numbers 976, 359, 460, 659 is 1

2. How to calculate the greatest common divisor of 976, 359, 460, 659?

We can find the highest common divisor of 976, 359, 460, 659 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 976, 359, 460, 659 i.e 1.

3. How can I use the GCD of 976, 359, 460, 659Calculator?

Out the numbers 976, 359, 460, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.