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GCD of 147, 879, 99, 708 Calculator

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


Online GCD Calculator is useful to find the GCD of 147, 879, 99, 708 quickly. Get the easiest ways to solve the greatest common divisor of 147, 879, 99, 708 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 147, 879, 99, 708 with Factoring?

Given Input numbers are 147, 879, 99, 708

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99

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


GCD of numbers is the greatest common divisor

So, the GCD (147, 879, 99, 708) = 3.

Find GCD of 147, 879, 99, 708 using Prime Factorization

Given numbers are 147, 879, 99, 708

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 879 are 3 x 293

Prime factors of 99 are 3 x 3 x 11

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

The highest common occurrence is 31

Therefore, GCD of 147, 879, 99, 708 is 3.

Steps to Calculate GCD of 147, 879, 99, 708 using LCM Formula

Given numbers are 147, 879, 99, 708

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

Apply this formula for all numbers.

Step1:

LCM(147, 879) = 43071

GCD(147, 879) = ( 147 x 879 ) / 43071

= 147 / 879

= 147


Step2:

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

= 3 / 99

= 3


Step3:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3


So, Greatest Common Divisor of 147, 879, 99, 708 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 147, 879, 99, 708

Given numbers are 147, 879, 99, 708
The greatest common divisor of numbers 147, 879, 99, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 879, 99, 708 is 3.

FAQs on GCD of 147, 879, 99, 708 Calculator

1. What is the GCD of 147, 879, 99, 708?

GCD of given numbers 147, 879, 99, 708 is 3


2. How to calculate the greatest common divisor of 147, 879, 99, 708?

We can find the highest common divisor of 147, 879, 99, 708 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 147, 879, 99, 708 i.e 3.


3. How can I use the GCD of 147, 879, 99, 708Calculator?

Out the numbers 147, 879, 99, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.