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GCD of 148, 722, 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 148, 722, 961 quickly. Get the easiest ways to solve the greatest common divisor of 148, 722, 961 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 148, 722, 961 with Factoring?

Given Input numbers are 148, 722, 961

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

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 (148, 722, 961) = 1.

Find GCD of 148, 722, 961 using Prime Factorization

Given numbers are 148, 722, 961

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 722 are 2 x 19 x 19

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 148, 722, 961 using LCM Formula

Given numbers are 148, 722, 961

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

Apply this formula for all numbers.

Step1:

LCM(148, 722) = 53428

GCD(148, 722) = ( 148 x 722 ) / 53428

= 148 / 722

= 148


Step2:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2


So, Greatest Common Divisor of 148, 722, 961 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 148, 722, 961

Given numbers are 148, 722, 961
The greatest common divisor of numbers 148, 722, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 722, 961 is 1.

FAQs on GCD of 148, 722, 961 Calculator

1. What is the GCD of 148, 722, 961?

GCD of given numbers 148, 722, 961 is 1


2. How to calculate the greatest common divisor of 148, 722, 961?

We can find the highest common divisor of 148, 722, 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 148, 722, 961 i.e 1.


3. How can I use the GCD of 148, 722, 961Calculator?

Out the numbers 148, 722, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.