GCD of 474, 645, 977, 120 Calculator

Given Input numbers are 474, 645, 977, 120

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

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

GCD of numbers is the greatest common divisor

So, the GCD (474, 645, 977, 120) = 1.

Given numbers are 474, 645, 977, 120

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 645 are 3 x 5 x 43

Prime factors of 977 are 977

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

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

Given numbers are 474, 645, 977, 120

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

Apply this formula for all numbers.

Step1:

LCM(474, 645) = 101910

GCD(474, 645) = ( 474 x 645 ) / 101910

= 474 / 645

= 474

Step2:

LCM(3, 977) = 2931

GCD(3, 977) = ( 3 x 977 ) / 2931

= 3 / 977

= 3

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 474, 645, 977, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 284, 729, 480
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• GCD of 750, 214, 457, 614
• GCD of 241, 947, 924, 414
• GCD of 718, 913, 724, 485

Given numbers are 474, 645, 977, 120
The greatest common divisor of numbers 474, 645, 977, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 645, 977, 120 is 1.

1. What is the GCD of 474, 645, 977, 120?

GCD of given numbers 474, 645, 977, 120 is 1

2. How to calculate the greatest common divisor of 474, 645, 977, 120?

We can find the highest common divisor of 474, 645, 977, 120 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 474, 645, 977, 120 i.e 1.

3. How can I use the GCD of 474, 645, 977, 120Calculator?

Out the numbers 474, 645, 977, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.