GCD of 109, 342, 149, 961 Calculator

Given Input numbers are 109, 342, 149, 961

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (109, 342, 149, 961) = 1.

Given numbers are 109, 342, 149, 961

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 149 are 149

Prime factors of 961 are 31 x 31

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

Given numbers are 109, 342, 149, 961

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

Apply this formula for all numbers.

Step1:

LCM(109, 342) = 37278

GCD(109, 342) = ( 109 x 342 ) / 37278

= 109 / 342

= 109

Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 109, 342, 149, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 414, 705, 339
• GCD of 402, 822, 458, 360
• GCD of 979, 841, 568, 655
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• GCD of 113, 608, 271, 769

Given numbers are 109, 342, 149, 961
The greatest common divisor of numbers 109, 342, 149, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 342, 149, 961 is 1.

1. What is the GCD of 109, 342, 149, 961?

GCD of given numbers 109, 342, 149, 961 is 1

2. How to calculate the greatest common divisor of 109, 342, 149, 961?

We can find the highest common divisor of 109, 342, 149, 961 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 109, 342, 149, 961 i.e 1.

3. How can I use the GCD of 109, 342, 149, 961Calculator?

Out the numbers 109, 342, 149, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.