GCD of 969, 791, 138 Calculator

Given Input numbers are 969, 791, 138

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (969, 791, 138) = 1.

Given numbers are 969, 791, 138

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 791 are 7 x 113

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 969, 791, 138

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

Apply this formula for all numbers.

Step1:

LCM(969, 791) = 766479

GCD(969, 791) = ( 969 x 791 ) / 766479

= 969 / 791

= 969

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 969, 791, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 499, 140
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Given numbers are 969, 791, 138
The greatest common divisor of numbers 969, 791, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 791, 138 is 1.

1. What is the GCD of 969, 791, 138?

GCD of given numbers 969, 791, 138 is 1

2. How to calculate the greatest common divisor of 969, 791, 138?

We can find the highest common divisor of 969, 791, 138 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 969, 791, 138 i.e 1.

3. How can I use the GCD of 969, 791, 138Calculator?

Out the numbers 969, 791, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.