GCD of 731, 138, 202, 123 Calculator

Given Input numbers are 731, 138, 202, 123

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (731, 138, 202, 123) = 1.

Given numbers are 731, 138, 202, 123

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 138 are 2 x 3 x 23

Prime factors of 202 are 2 x 101

Prime factors of 123 are 3 x 41

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

Given numbers are 731, 138, 202, 123

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

Apply this formula for all numbers.

Step1:

LCM(731, 138) = 100878

GCD(731, 138) = ( 731 x 138 ) / 100878

= 731 / 138

= 731

Step2:

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

= 1 / 202

= 1

Step3:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1

So, Greatest Common Divisor of 731, 138, 202, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 766, 928, 990
• GCD of 141, 470, 943, 998
• GCD of 518, 352, 349, 655
• GCD of 571, 118, 690, 353
• GCD of 118, 786, 322, 229

Given numbers are 731, 138, 202, 123
The greatest common divisor of numbers 731, 138, 202, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 138, 202, 123 is 1.

1. What is the GCD of 731, 138, 202, 123?

GCD of given numbers 731, 138, 202, 123 is 1

2. How to calculate the greatest common divisor of 731, 138, 202, 123?

We can find the highest common divisor of 731, 138, 202, 123 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 731, 138, 202, 123 i.e 1.

3. How can I use the GCD of 731, 138, 202, 123Calculator?

Out the numbers 731, 138, 202, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.