GCD of 654, 980, 640, 996 Calculator

Given Input numbers are 654, 980, 640, 996

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (654, 980, 640, 996) = 2.

Given numbers are 654, 980, 640, 996

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 654, 980, 640, 996 is 2.

Given numbers are 654, 980, 640, 996

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

Apply this formula for all numbers.

Step1:

LCM(654, 980) = 320460

GCD(654, 980) = ( 654 x 980 ) / 320460

= 654 / 980

= 654

Step2:

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

= 2 / 640

= 2

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 654, 980, 640, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 170, 624, 105
• GCD of 270, 272, 532, 672
• GCD of 919, 668, 718, 177
• GCD of 112, 542, 136, 985
• GCD of 795, 474, 600, 380

Given numbers are 654, 980, 640, 996
The greatest common divisor of numbers 654, 980, 640, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 980, 640, 996 is 2.

1. What is the GCD of 654, 980, 640, 996?

GCD of given numbers 654, 980, 640, 996 is 2

2. How to calculate the greatest common divisor of 654, 980, 640, 996?

We can find the highest common divisor of 654, 980, 640, 996 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 654, 980, 640, 996 i.e 2.

3. How can I use the GCD of 654, 980, 640, 996Calculator?

Out the numbers 654, 980, 640, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.