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GCD of 762, 633, 921, 906 Calculator

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


Online GCD Calculator is useful to find the GCD of 762, 633, 921, 906 quickly. Get the easiest ways to solve the greatest common divisor of 762, 633, 921, 906 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 762, 633, 921, 906 with Factoring?

Given Input numbers are 762, 633, 921, 906

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906


GCD of numbers is the greatest common divisor

So, the GCD (762, 633, 921, 906) = 3.

Find GCD of 762, 633, 921, 906 using Prime Factorization

Given numbers are 762, 633, 921, 906

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 633 are 3 x 211

Prime factors of 921 are 3 x 307

Prime factors of 906 are 2 x 3 x 151

The highest common occurrence is 31

Therefore, GCD of 762, 633, 921, 906 is 3.

Steps to Calculate GCD of 762, 633, 921, 906 using LCM Formula

Given numbers are 762, 633, 921, 906

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

Apply this formula for all numbers.

Step1:

LCM(762, 633) = 160782

GCD(762, 633) = ( 762 x 633 ) / 160782

= 762 / 633

= 762


Step2:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3


Step3:

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

= 3 / 906

= 3


So, Greatest Common Divisor of 762, 633, 921, 906 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 762, 633, 921, 906

Given numbers are 762, 633, 921, 906
The greatest common divisor of numbers 762, 633, 921, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 633, 921, 906 is 3.

FAQs on GCD of 762, 633, 921, 906 Calculator

1. What is the GCD of 762, 633, 921, 906?

GCD of given numbers 762, 633, 921, 906 is 3


2. How to calculate the greatest common divisor of 762, 633, 921, 906?

We can find the highest common divisor of 762, 633, 921, 906 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 762, 633, 921, 906 i.e 3.


3. How can I use the GCD of 762, 633, 921, 906Calculator?

Out the numbers 762, 633, 921, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.