GCD of 976, 648, 102, 320 Calculator

Given Input numbers are 976, 648, 102, 320

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (976, 648, 102, 320) = 2.

Given numbers are 976, 648, 102, 320

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 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 102 are 2 x 3 x 17

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 976, 648, 102, 320 is 2.

Given numbers are 976, 648, 102, 320

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

Apply this formula for all numbers.

Step1:

LCM(976, 648) = 79056

GCD(976, 648) = ( 976 x 648 ) / 79056

= 976 / 648

= 976

Step2:

LCM(8, 102) = 408

GCD(8, 102) = ( 8 x 102 ) / 408

= 8 / 102

= 8

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 976, 648, 102, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 313, 636, 214
• GCD of 938, 897, 858, 218
• GCD of 735, 805, 216, 787
• GCD of 231, 982, 653, 550
• GCD of 973, 552, 981, 215

Given numbers are 976, 648, 102, 320
The greatest common divisor of numbers 976, 648, 102, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 648, 102, 320 is 2.

1. What is the GCD of 976, 648, 102, 320?

GCD of given numbers 976, 648, 102, 320 is 2

2. How to calculate the greatest common divisor of 976, 648, 102, 320?

We can find the highest common divisor of 976, 648, 102, 320 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, 648, 102, 320 i.e 2.

3. How can I use the GCD of 976, 648, 102, 320Calculator?

Out the numbers 976, 648, 102, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.