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GCD of 140, 676, 926, 260 Calculator

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


Online GCD Calculator is useful to find the GCD of 140, 676, 926, 260 quickly. Get the easiest ways to solve the greatest common divisor of 140, 676, 926, 260 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 140, 676, 926, 260 with Factoring?

Given Input numbers are 140, 676, 926, 260

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

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260


GCD of numbers is the greatest common divisor

So, the GCD (140, 676, 926, 260) = 2.

Find GCD of 140, 676, 926, 260 using Prime Factorization

Given numbers are 140, 676, 926, 260

The list of prime factors of all numbers are

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

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 926 are 2 x 463

Prime factors of 260 are 2 x 2 x 5 x 13

The highest common occurrence is 21

Therefore, GCD of 140, 676, 926, 260 is 2.

Steps to Calculate GCD of 140, 676, 926, 260 using LCM Formula

Given numbers are 140, 676, 926, 260

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

Apply this formula for all numbers.

Step1:

LCM(140, 676) = 23660

GCD(140, 676) = ( 140 x 676 ) / 23660

= 140 / 676

= 140


Step2:

LCM(4, 926) = 1852

GCD(4, 926) = ( 4 x 926 ) / 1852

= 4 / 926

= 4


Step3:

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

= 2 / 260

= 2


So, Greatest Common Divisor of 140, 676, 926, 260 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 140, 676, 926, 260

Given numbers are 140, 676, 926, 260
The greatest common divisor of numbers 140, 676, 926, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 676, 926, 260 is 2.

FAQs on GCD of 140, 676, 926, 260 Calculator

1. What is the GCD of 140, 676, 926, 260?

GCD of given numbers 140, 676, 926, 260 is 2


2. How to calculate the greatest common divisor of 140, 676, 926, 260?

We can find the highest common divisor of 140, 676, 926, 260 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 140, 676, 926, 260 i.e 2.


3. How can I use the GCD of 140, 676, 926, 260Calculator?

Out the numbers 140, 676, 926, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.