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GCD of 942, 149, 721, 814 Calculator

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


Online GCD Calculator is useful to find the GCD of 942, 149, 721, 814 quickly. Get the easiest ways to solve the greatest common divisor of 942, 149, 721, 814 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 942, 149, 721, 814 with Factoring?

Given Input numbers are 942, 149, 721, 814

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 149 :

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

1, 149

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814


GCD of numbers is the greatest common divisor

So, the GCD (942, 149, 721, 814) = 1.

Find GCD of 942, 149, 721, 814 using Prime Factorization

Given numbers are 942, 149, 721, 814

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 149 are 149

Prime factors of 721 are 7 x 103

Prime factors of 814 are 2 x 11 x 37

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

Steps to Calculate GCD of 942, 149, 721, 814 using LCM Formula

Given numbers are 942, 149, 721, 814

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

Apply this formula for all numbers.

Step1:

LCM(942, 149) = 140358

GCD(942, 149) = ( 942 x 149 ) / 140358

= 942 / 149

= 942


Step2:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1


Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1


So, Greatest Common Divisor of 942, 149, 721, 814 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 942, 149, 721, 814

Given numbers are 942, 149, 721, 814
The greatest common divisor of numbers 942, 149, 721, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 149, 721, 814 is 1.

FAQs on GCD of 942, 149, 721, 814 Calculator

1. What is the GCD of 942, 149, 721, 814?

GCD of given numbers 942, 149, 721, 814 is 1


2. How to calculate the greatest common divisor of 942, 149, 721, 814?

We can find the highest common divisor of 942, 149, 721, 814 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 942, 149, 721, 814 i.e 1.


3. How can I use the GCD of 942, 149, 721, 814Calculator?

Out the numbers 942, 149, 721, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.