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GCD of 985, 942, 500, 736 Calculator

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


Online GCD Calculator is useful to find the GCD of 985, 942, 500, 736 quickly. Get the easiest ways to solve the greatest common divisor of 985, 942, 500, 736 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 985, 942, 500, 736 with Factoring?

Given Input numbers are 985, 942, 500, 736

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

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 942 :

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

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736


GCD of numbers is the greatest common divisor

So, the GCD (985, 942, 500, 736) = 1.

Find GCD of 985, 942, 500, 736 using Prime Factorization

Given numbers are 985, 942, 500, 736

The list of prime factors of all numbers are

Prime factors of 985 are 5 x 197

Prime factors of 942 are 2 x 3 x 157

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

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

Steps to Calculate GCD of 985, 942, 500, 736 using LCM Formula

Given numbers are 985, 942, 500, 736

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

Apply this formula for all numbers.

Step1:

LCM(985, 942) = 927870

GCD(985, 942) = ( 985 x 942 ) / 927870

= 985 / 942

= 985


Step2:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1


Step3:

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

= 1 / 736

= 1


So, Greatest Common Divisor of 985, 942, 500, 736 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 985, 942, 500, 736

Given numbers are 985, 942, 500, 736
The greatest common divisor of numbers 985, 942, 500, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 985, 942, 500, 736 is 1.

FAQs on GCD of 985, 942, 500, 736 Calculator

1. What is the GCD of 985, 942, 500, 736?

GCD of given numbers 985, 942, 500, 736 is 1


2. How to calculate the greatest common divisor of 985, 942, 500, 736?

We can find the highest common divisor of 985, 942, 500, 736 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 985, 942, 500, 736 i.e 1.


3. How can I use the GCD of 985, 942, 500, 736Calculator?

Out the numbers 985, 942, 500, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.