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GCD of 854, 932, 690, 731 Calculator

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


Online GCD Calculator is useful to find the GCD of 854, 932, 690, 731 quickly. Get the easiest ways to solve the greatest common divisor of 854, 932, 690, 731 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 854, 932, 690, 731 with Factoring?

Given Input numbers are 854, 932, 690, 731

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 731 :

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

1, 17, 43, 731


GCD of numbers is the greatest common divisor

So, the GCD (854, 932, 690, 731) = 1.

Find GCD of 854, 932, 690, 731 using Prime Factorization

Given numbers are 854, 932, 690, 731

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 932 are 2 x 2 x 233

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 731 are 17 x 43

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

Steps to Calculate GCD of 854, 932, 690, 731 using LCM Formula

Given numbers are 854, 932, 690, 731

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

Apply this formula for all numbers.

Step1:

LCM(854, 932) = 397964

GCD(854, 932) = ( 854 x 932 ) / 397964

= 854 / 932

= 854


Step2:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2


Step3:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2


So, Greatest Common Divisor of 854, 932, 690, 731 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 854, 932, 690, 731

Given numbers are 854, 932, 690, 731
The greatest common divisor of numbers 854, 932, 690, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 932, 690, 731 is 1.

FAQs on GCD of 854, 932, 690, 731 Calculator

1. What is the GCD of 854, 932, 690, 731?

GCD of given numbers 854, 932, 690, 731 is 1


2. How to calculate the greatest common divisor of 854, 932, 690, 731?

We can find the highest common divisor of 854, 932, 690, 731 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 854, 932, 690, 731 i.e 1.


3. How can I use the GCD of 854, 932, 690, 731Calculator?

Out the numbers 854, 932, 690, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.