Greatest Common Factor of 278/45, 1814/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/45, 1814/635

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 278/45,1814/635

Given fractions are 278/45,1814/635

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 278,1814

Greatest Common Factor of Numerators i.e. GCF of 278,1814 is 2 .

LCM of Denominators means LCM of 45,635 as per the given fractions.

LCM of 45,635 is 5715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,1814

GCF of Fractions 278/45,1814/635 is 2/5715

2 278, 1814
139, 907

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 278,1814 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,1814 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 1814

List of positive integer factors of 1814 that divides 1814 without a remainder.

1,2,907,1814

Greatest Common Factor

We found the factors 278,1814 . The biggest common factor number is the GCF number.
So the greatest common factor 278,1814 is 2.

Lets's calculate LCM of 45,635

5 45, 635
9, 127

∴ So the LCM of the given numbers is 5 x 9 x 127 = 5715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5715

Therefore, the GCF of Fractions 278/45,1814/635 is 2/5715

Least Common Multiple of 45,635 with GCF Formula

Least Common Multiple of 45,635 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 45,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,635) = 5

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

GCF(45,635) x common factors =5 x 1 = 5

LCM(45,635) = ( 45 × 635 ) / 5

LCM(45,635) = 28575 / 5

LCM(45,635) = 5715


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 278/45, 1814/635

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 278/45, 1814/635?

Answer: GCF of Numerators as per given numbers 278/45, 1814/635 is

GCF of Numerators i.e. for 278,1814 is 2

LCM of denominators i.e. for 45,635 is 5715.

Thus, GCF of Fractions is 2/5715.Finally, GCF of Fractions for 278/45, 1814/635 is 2/5715.