GCD of 138, 722, 971, 793 Calculator

Given Input numbers are 138, 722, 971, 793

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

Divisors of 138 :

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

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 971 :

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

1, 971

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

GCD of numbers is the greatest common divisor

So, the GCD (138, 722, 971, 793) = 1.

Given numbers are 138, 722, 971, 793

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 722 are 2 x 19 x 19

Prime factors of 971 are 971

Prime factors of 793 are 13 x 61

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

Given numbers are 138, 722, 971, 793

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

Apply this formula for all numbers.

Step1:

LCM(138, 722) = 49818

GCD(138, 722) = ( 138 x 722 ) / 49818

= 138 / 722

= 138

Step2:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

Step3:

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

= 1 / 793

= 1

So, Greatest Common Divisor of 138, 722, 971, 793 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 707, 107, 352
• GCD of 633, 387, 690, 997
• GCD of 651, 893, 962, 222
• GCD of 432, 269, 105, 154
• GCD of 367, 630, 202, 560

Given numbers are 138, 722, 971, 793
The greatest common divisor of numbers 138, 722, 971, 793 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 722, 971, 793 is 1.

1. What is the GCD of 138, 722, 971, 793?

GCD of given numbers 138, 722, 971, 793 is 1

2. How to calculate the greatest common divisor of 138, 722, 971, 793?

We can find the highest common divisor of 138, 722, 971, 793 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 138, 722, 971, 793 i.e 1.

3. How can I use the GCD of 138, 722, 971, 793Calculator?

Out the numbers 138, 722, 971, 793 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.