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GCD of 31, 737, 216, 140 Calculator

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


Online GCD Calculator is useful to find the GCD of 31, 737, 216, 140 quickly. Get the easiest ways to solve the greatest common divisor of 31, 737, 216, 140 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 31, 737, 216, 140 with Factoring?

Given Input numbers are 31, 737, 216, 140

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

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140


GCD of numbers is the greatest common divisor

So, the GCD (31, 737, 216, 140) = 1.

Find GCD of 31, 737, 216, 140 using Prime Factorization

Given numbers are 31, 737, 216, 140

The list of prime factors of all numbers are

Prime factors of 31 are 31

Prime factors of 737 are 11 x 67

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 140 are 2 x 2 x 5 x 7

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

Steps to Calculate GCD of 31, 737, 216, 140 using LCM Formula

Given numbers are 31, 737, 216, 140

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

Apply this formula for all numbers.

Step1:

LCM(31, 737) = 22847

GCD(31, 737) = ( 31 x 737 ) / 22847

= 31 / 737

= 31


Step2:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1


Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1


So, Greatest Common Divisor of 31, 737, 216, 140 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 31, 737, 216, 140

Given numbers are 31, 737, 216, 140
The greatest common divisor of numbers 31, 737, 216, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 31, 737, 216, 140 is 1.

FAQs on GCD of 31, 737, 216, 140 Calculator

1. What is the GCD of 31, 737, 216, 140?

GCD of given numbers 31, 737, 216, 140 is 1


2. How to calculate the greatest common divisor of 31, 737, 216, 140?

We can find the highest common divisor of 31, 737, 216, 140 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 31, 737, 216, 140 i.e 1.


3. How can I use the GCD of 31, 737, 216, 140Calculator?

Out the numbers 31, 737, 216, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.