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GCD of 766, 548, 708, 426 Calculator

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


Online GCD Calculator is useful to find the GCD of 766, 548, 708, 426 quickly. Get the easiest ways to solve the greatest common divisor of 766, 548, 708, 426 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 766, 548, 708, 426 with Factoring?

Given Input numbers are 766, 548, 708, 426

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426


GCD of numbers is the greatest common divisor

So, the GCD (766, 548, 708, 426) = 2.

Find GCD of 766, 548, 708, 426 using Prime Factorization

Given numbers are 766, 548, 708, 426

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 548 are 2 x 2 x 137

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 21

Therefore, GCD of 766, 548, 708, 426 is 2.

Steps to Calculate GCD of 766, 548, 708, 426 using LCM Formula

Given numbers are 766, 548, 708, 426

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

Apply this formula for all numbers.

Step1:

LCM(766, 548) = 209884

GCD(766, 548) = ( 766 x 548 ) / 209884

= 766 / 548

= 766


Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2


Step3:

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

= 2 / 426

= 2


So, Greatest Common Divisor of 766, 548, 708, 426 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 766, 548, 708, 426

Given numbers are 766, 548, 708, 426
The greatest common divisor of numbers 766, 548, 708, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 548, 708, 426 is 2.

FAQs on GCD of 766, 548, 708, 426 Calculator

1. What is the GCD of 766, 548, 708, 426?

GCD of given numbers 766, 548, 708, 426 is 2


2. How to calculate the greatest common divisor of 766, 548, 708, 426?

We can find the highest common divisor of 766, 548, 708, 426 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 766, 548, 708, 426 i.e 2.


3. How can I use the GCD of 766, 548, 708, 426Calculator?

Out the numbers 766, 548, 708, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.