GCD of 142, 971, 980, 657 Calculator

Given Input numbers are 142, 971, 980, 657

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

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

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 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (142, 971, 980, 657) = 1.

Given numbers are 142, 971, 980, 657

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 971 are 971

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

Prime factors of 657 are 3 x 3 x 73

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

Given numbers are 142, 971, 980, 657

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

Apply this formula for all numbers.

Step1:

LCM(142, 971) = 137882

GCD(142, 971) = ( 142 x 971 ) / 137882

= 142 / 971

= 142

Step2:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

Step3:

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

= 1 / 657

= 1

So, Greatest Common Divisor of 142, 971, 980, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 486, 779, 110
• GCD of 290, 272, 684, 587
• GCD of 571, 181, 830, 114
• GCD of 249, 697, 922, 532
• GCD of 784, 476, 502, 267

Given numbers are 142, 971, 980, 657
The greatest common divisor of numbers 142, 971, 980, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 971, 980, 657 is 1.

1. What is the GCD of 142, 971, 980, 657?

GCD of given numbers 142, 971, 980, 657 is 1

2. How to calculate the greatest common divisor of 142, 971, 980, 657?

We can find the highest common divisor of 142, 971, 980, 657 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 142, 971, 980, 657 i.e 1.

3. How can I use the GCD of 142, 971, 980, 657Calculator?

Out the numbers 142, 971, 980, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.