Greatest Common Factor of 26/99, 354/56, 169/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/99, 354/56, 169/714

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 26/99,354/56,169/714

Given fractions are 26/99,354/56,169/714

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 26,354,169

Greatest Common Factor of Numerators i.e. GCF of 26,354,169 is 1 .

LCM of Denominators means LCM of 99,56,714 as per the given fractions.

LCM of 99,56,714 is 94248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,354,169

GCF of Fractions 26/99,354/56,169/714 is 1/94248

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

Greatest Common Factor of 26,354,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,354,169 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 26,354,169 . The biggest common factor number is the GCF number.
So the greatest common factor 26,354,169 is 1.

Lets's calculate LCM of 99,56,714

2 99, 56, 714
3 99, 28, 357
7 33, 28, 119
33, 4, 17

∴ So the LCM of the given numbers is 2 x 3 x 7 x 33 x 4 x 17 = 94248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94248

Therefore, the GCF of Fractions 26/99,354/56,169/714 is 1/94248

Least Common Multiple of 99,56,714 with GCF Formula

Least Common Multiple of 99,56,714 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 99,56,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,56,714) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(99,56,714) x common factors =1 x 42 = 42

LCM(99,56,714) = ( 99 × 56 × 714 ) / 42

LCM(99,56,714) = 3958416 / 42

LCM(99,56,714) = 94248


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 26/99, 354/56, 169/714

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 26/99, 354/56, 169/714?

Answer: GCF of Numerators as per given numbers 26/99, 354/56, 169/714 is

GCF of Numerators i.e. for 26,354,169 is 1

LCM of denominators i.e. for 99,56,714 is 94248.

Thus, GCF of Fractions is 1/94248.Finally, GCF of Fractions for 26/99, 354/56, 169/714 is 1/94248.