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GCD of 876, 138, 254, 148 Calculator

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


Online GCD Calculator is useful to find the GCD of 876, 138, 254, 148 quickly. Get the easiest ways to solve the greatest common divisor of 876, 138, 254, 148 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 876, 138, 254, 148 with Factoring?

Given Input numbers are 876, 138, 254, 148

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 254 :

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

1, 2, 127, 254

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148


GCD of numbers is the greatest common divisor

So, the GCD (876, 138, 254, 148) = 2.

Find GCD of 876, 138, 254, 148 using Prime Factorization

Given numbers are 876, 138, 254, 148

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 138 are 2 x 3 x 23

Prime factors of 254 are 2 x 127

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 21

Therefore, GCD of 876, 138, 254, 148 is 2.

Steps to Calculate GCD of 876, 138, 254, 148 using LCM Formula

Given numbers are 876, 138, 254, 148

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

Apply this formula for all numbers.

Step1:

LCM(876, 138) = 20148

GCD(876, 138) = ( 876 x 138 ) / 20148

= 876 / 138

= 876


Step2:

LCM(6, 254) = 762

GCD(6, 254) = ( 6 x 254 ) / 762

= 6 / 254

= 6


Step3:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2


So, Greatest Common Divisor of 876, 138, 254, 148 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 876, 138, 254, 148

Given numbers are 876, 138, 254, 148
The greatest common divisor of numbers 876, 138, 254, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 138, 254, 148 is 2.

FAQs on GCD of 876, 138, 254, 148 Calculator

1. What is the GCD of 876, 138, 254, 148?

GCD of given numbers 876, 138, 254, 148 is 2


2. How to calculate the greatest common divisor of 876, 138, 254, 148?

We can find the highest common divisor of 876, 138, 254, 148 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 876, 138, 254, 148 i.e 2.


3. How can I use the GCD of 876, 138, 254, 148Calculator?

Out the numbers 876, 138, 254, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.