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GCD of 237, 748, 85 Calculator

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


Online GCD Calculator is useful to find the GCD of 237, 748, 85 quickly. Get the easiest ways to solve the greatest common divisor of 237, 748, 85 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 237, 748, 85 with Factoring?

Given Input numbers are 237, 748, 85

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

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85


GCD of numbers is the greatest common divisor

So, the GCD (237, 748, 85) = 1.

Find GCD of 237, 748, 85 using Prime Factorization

Given numbers are 237, 748, 85

The list of prime factors of all numbers are

Prime factors of 237 are 3 x 79

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 85 are 5 x 17

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

Steps to Calculate GCD of 237, 748, 85 using LCM Formula

Given numbers are 237, 748, 85

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

Apply this formula for all numbers.

Step1:

LCM(237, 748) = 177276

GCD(237, 748) = ( 237 x 748 ) / 177276

= 237 / 748

= 237


Step2:

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

= 1 / 85

= 1


So, Greatest Common Divisor of 237, 748, 85 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 237, 748, 85

Given numbers are 237, 748, 85
The greatest common divisor of numbers 237, 748, 85 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 748, 85 is 1.

FAQs on GCD of 237, 748, 85 Calculator

1. What is the GCD of 237, 748, 85?

GCD of given numbers 237, 748, 85 is 1


2. How to calculate the greatest common divisor of 237, 748, 85?

We can find the highest common divisor of 237, 748, 85 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 237, 748, 85 i.e 1.


3. How can I use the GCD of 237, 748, 85Calculator?

Out the numbers 237, 748, 85 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.