Greatest Common Factor of 5913/25, 6858/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5913/25, 6858/278

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 5913/25,6858/278

Given fractions are 5913/25,6858/278

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 5913,6858

Greatest Common Factor of Numerators i.e. GCF of 5913,6858 is 27 .

LCM of Denominators means LCM of 25,278 as per the given fractions.

LCM of 25,278 is 6950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5913,6858

GCF of Fractions 5913/25,6858/278 is 27/6950

3 5913, 6858
3 1971, 2286
3 657, 762
219, 254

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 5913,6858 By Matching Biggest Common Factor Method

Greatest Common Factor of 5913,6858 By Matching Biggest Common Factor Method

Factors of 5913

List of positive integer factors of 5913 that divides 5913 without a remainder.

1,3,9,27,73,81,219,657,1971,5913

Factors of 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858

Greatest Common Factor

We found the factors 5913,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 5913,6858 is 27.

Lets's calculate LCM of 25,278

Given numbers has no common factors except 1. So, there LCM is their product i.e 6950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/6950

Therefore, the GCF of Fractions 5913/25,6858/278 is 27/6950

Least Common Multiple of 25,278 with GCF Formula

Least Common Multiple of 25,278 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 25,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,278) = 1

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

GCF(25,278) x common factors =1 x 1 = 1

LCM(25,278) = ( 25 × 278 ) / 1

LCM(25,278) = 6950 / 1

LCM(25,278) = 6950


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 5913/25, 6858/278

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 5913/25, 6858/278?

Answer: GCF of Numerators as per given numbers 5913/25, 6858/278 is

GCF of Numerators i.e. for 5913,6858 is 27

LCM of denominators i.e. for 25,278 is 6950.

Thus, GCF of Fractions is 27/6950.Finally, GCF of Fractions for 5913/25, 6858/278 is 27/6950.