Greatest Common Factor of 295/959, 888/169, 338/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 295/959, 888/169, 338/493

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 295/959,888/169,338/493

Given fractions are 295/959,888/169,338/493

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 295,888,338

Greatest Common Factor of Numerators i.e. GCF of 295,888,338 is 1 .

LCM of Denominators means LCM of 959,169,493 as per the given fractions.

LCM of 959,169,493 is 79901003 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 295,888,338

GCF of Fractions 295/959,888/169,338/493 is 1/79901003

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 295,888,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,888,338 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 295,888,338 . The biggest common factor number is the GCF number.
So the greatest common factor 295,888,338 is 1.


Lets's calculate LCM of 959,169,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 79901003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79901003

Therefore, the GCF of Fractions 295/959,888/169,338/493 is 1/79901003

Least Common Multiple of 959,169,493 with GCF Formula

Least Common Multiple of 959,169,493 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 959,169,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,169,493) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(959,169,493) x common factors =1 x 1 = 1

LCM(959,169,493) = ( 959 × 169 × 493 ) / 1

LCM(959,169,493) = 79901003 / 1

LCM(959,169,493) = 79901003


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 295/959, 888/169, 338/493

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 295/959, 888/169, 338/493?

Answer: GCF of Numerators as per given numbers 295/959, 888/169, 338/493 is

GCF of Numerators i.e. for 295,888,338 is 1

LCM of denominators i.e. for 959,169,493 is 79901003.

Thus, GCF of Fractions is 1/79901003.Finally, GCF of Fractions for 295/959, 888/169, 338/493 is 1/79901003.