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GCD of 731, 346, 700, 921 Calculator

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


Online GCD Calculator is useful to find the GCD of 731, 346, 700, 921 quickly. Get the easiest ways to solve the greatest common divisor of 731, 346, 700, 921 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 731, 346, 700, 921 with Factoring?

Given Input numbers are 731, 346, 700, 921

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921


GCD of numbers is the greatest common divisor

So, the GCD (731, 346, 700, 921) = 1.

Find GCD of 731, 346, 700, 921 using Prime Factorization

Given numbers are 731, 346, 700, 921

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 346 are 2 x 173

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 921 are 3 x 307

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

Steps to Calculate GCD of 731, 346, 700, 921 using LCM Formula

Given numbers are 731, 346, 700, 921

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

Apply this formula for all numbers.

Step1:

LCM(731, 346) = 252926

GCD(731, 346) = ( 731 x 346 ) / 252926

= 731 / 346

= 731


Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1


Step3:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1


So, Greatest Common Divisor of 731, 346, 700, 921 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 731, 346, 700, 921

Given numbers are 731, 346, 700, 921
The greatest common divisor of numbers 731, 346, 700, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 346, 700, 921 is 1.

FAQs on GCD of 731, 346, 700, 921 Calculator

1. What is the GCD of 731, 346, 700, 921?

GCD of given numbers 731, 346, 700, 921 is 1


2. How to calculate the greatest common divisor of 731, 346, 700, 921?

We can find the highest common divisor of 731, 346, 700, 921 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 731, 346, 700, 921 i.e 1.


3. How can I use the GCD of 731, 346, 700, 921Calculator?

Out the numbers 731, 346, 700, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.