GCD of 120, 654, 653, 736 Calculator

Given Input numbers are 120, 654, 653, 736

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 654 :

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

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

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

GCD of numbers is the greatest common divisor

So, the GCD (120, 654, 653, 736) = 1.

Given numbers are 120, 654, 653, 736

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 654 are 2 x 3 x 109

Prime factors of 653 are 653

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

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

Given numbers are 120, 654, 653, 736

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

Apply this formula for all numbers.

Step1:

LCM(120, 654) = 13080

GCD(120, 654) = ( 120 x 654 ) / 13080

= 120 / 654

= 120

Step2:

LCM(6, 653) = 3918

GCD(6, 653) = ( 6 x 653 ) / 3918

= 6 / 653

= 6

Step3:

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

= 1 / 736

= 1

So, Greatest Common Divisor of 120, 654, 653, 736 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 625, 892, 837
• GCD of 535, 714, 590, 512
• GCD of 116, 731, 646, 160
• GCD of 108, 117, 202, 443
• GCD of 262, 566, 171, 624

Given numbers are 120, 654, 653, 736
The greatest common divisor of numbers 120, 654, 653, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 654, 653, 736 is 1.

1. What is the GCD of 120, 654, 653, 736?

GCD of given numbers 120, 654, 653, 736 is 1

2. How to calculate the greatest common divisor of 120, 654, 653, 736?

We can find the highest common divisor of 120, 654, 653, 736 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 120, 654, 653, 736 i.e 1.

3. How can I use the GCD of 120, 654, 653, 736Calculator?

Out the numbers 120, 654, 653, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.