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GCD of 962, 216, 254, 735 Calculator

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


Online GCD Calculator is useful to find the GCD of 962, 216, 254, 735 quickly. Get the easiest ways to solve the greatest common divisor of 962, 216, 254, 735 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 962, 216, 254, 735 with Factoring?

Given Input numbers are 962, 216, 254, 735

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

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

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 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735


GCD of numbers is the greatest common divisor

So, the GCD (962, 216, 254, 735) = 1.

Find GCD of 962, 216, 254, 735 using Prime Factorization

Given numbers are 962, 216, 254, 735

The list of prime factors of all numbers are

Prime factors of 962 are 2 x 13 x 37

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

Prime factors of 254 are 2 x 127

Prime factors of 735 are 3 x 5 x 7 x 7

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

Steps to Calculate GCD of 962, 216, 254, 735 using LCM Formula

Given numbers are 962, 216, 254, 735

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

Apply this formula for all numbers.

Step1:

LCM(962, 216) = 103896

GCD(962, 216) = ( 962 x 216 ) / 103896

= 962 / 216

= 962


Step2:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2


Step3:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2


So, Greatest Common Divisor of 962, 216, 254, 735 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 962, 216, 254, 735

Given numbers are 962, 216, 254, 735
The greatest common divisor of numbers 962, 216, 254, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 216, 254, 735 is 1.

FAQs on GCD of 962, 216, 254, 735 Calculator

1. What is the GCD of 962, 216, 254, 735?

GCD of given numbers 962, 216, 254, 735 is 1


2. How to calculate the greatest common divisor of 962, 216, 254, 735?

We can find the highest common divisor of 962, 216, 254, 735 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 962, 216, 254, 735 i.e 1.


3. How can I use the GCD of 962, 216, 254, 735Calculator?

Out the numbers 962, 216, 254, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.