GCD of 120, 639, 141, 724 Calculator

Given Input numbers are 120, 639, 141, 724

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 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (120, 639, 141, 724) = 1.

Given numbers are 120, 639, 141, 724

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 639 are 3 x 3 x 71

Prime factors of 141 are 3 x 47

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 120, 639, 141, 724

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

Apply this formula for all numbers.

Step1:

LCM(120, 639) = 25560

GCD(120, 639) = ( 120 x 639 ) / 25560

= 120 / 639

= 120

Step2:

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

= 3 / 141

= 3

Step3:

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

= 3 / 724

= 3

So, Greatest Common Divisor of 120, 639, 141, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 402, 798, 181
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• GCD of 160, 681, 981, 799
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Given numbers are 120, 639, 141, 724
The greatest common divisor of numbers 120, 639, 141, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 639, 141, 724 is 1.

1. What is the GCD of 120, 639, 141, 724?

GCD of given numbers 120, 639, 141, 724 is 1

2. How to calculate the greatest common divisor of 120, 639, 141, 724?

We can find the highest common divisor of 120, 639, 141, 724 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, 639, 141, 724 i.e 1.

3. How can I use the GCD of 120, 639, 141, 724Calculator?

Out the numbers 120, 639, 141, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.