GCD of 137, 723, 980, 114 Calculator

Given Input numbers are 137, 723, 980, 114

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (137, 723, 980, 114) = 1.

Given numbers are 137, 723, 980, 114

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 723 are 3 x 241

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

Prime factors of 114 are 2 x 3 x 19

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

Given numbers are 137, 723, 980, 114

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

Apply this formula for all numbers.

Step1:

LCM(137, 723) = 99051

GCD(137, 723) = ( 137 x 723 ) / 99051

= 137 / 723

= 137

Step2:

LCM(1, 980) = 980

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

= 1 / 980

= 1

Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

So, Greatest Common Divisor of 137, 723, 980, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 546, 554, 804
• GCD of 866, 786, 864, 148
• GCD of 544, 752, 856, 949
• GCD of 321, 956, 151, 156
• GCD of 174, 572, 636, 370

Given numbers are 137, 723, 980, 114
The greatest common divisor of numbers 137, 723, 980, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 723, 980, 114 is 1.

1. What is the GCD of 137, 723, 980, 114?

GCD of given numbers 137, 723, 980, 114 is 1

2. How to calculate the greatest common divisor of 137, 723, 980, 114?

We can find the highest common divisor of 137, 723, 980, 114 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 137, 723, 980, 114 i.e 1.

3. How can I use the GCD of 137, 723, 980, 114Calculator?

Out the numbers 137, 723, 980, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.