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GCD of 901, 546, 42, 961 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 901, 546, 42, 961 quickly. Get the easiest ways to solve the greatest common divisor of 901, 546, 42, 961 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 901, 546, 42, 961 with Factoring?

Given Input numbers are 901, 546, 42, 961

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

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

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 (901, 546, 42, 961) = 1.

Find GCD of 901, 546, 42, 961 using Prime Factorization

Given numbers are 901, 546, 42, 961

The list of prime factors of all numbers are

Prime factors of 901 are 17 x 53

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 42 are 2 x 3 x 7

Prime factors of 961 are 31 x 31

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

Steps to Calculate GCD of 901, 546, 42, 961 using LCM Formula

Given numbers are 901, 546, 42, 961

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

Apply this formula for all numbers.

Step1:

LCM(901, 546) = 491946

GCD(901, 546) = ( 901 x 546 ) / 491946

= 901 / 546

= 901


Step2:

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

= 1 / 42

= 1


Step3:

LCM(1, 961) = 961

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

= 1 / 961

= 1


So, Greatest Common Divisor of 901, 546, 42, 961 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 901, 546, 42, 961

Given numbers are 901, 546, 42, 961
The greatest common divisor of numbers 901, 546, 42, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 901, 546, 42, 961 is 1.

FAQs on GCD of 901, 546, 42, 961 Calculator

1. What is the GCD of 901, 546, 42, 961?

GCD of given numbers 901, 546, 42, 961 is 1


2. How to calculate the greatest common divisor of 901, 546, 42, 961?

We can find the highest common divisor of 901, 546, 42, 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 901, 546, 42, 961 i.e 1.


3. How can I use the GCD of 901, 546, 42, 961Calculator?

Out the numbers 901, 546, 42, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.