Greatest Common Factor of 110/278, 550/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/278, 550/976

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 110/278,550/976

Given fractions are 110/278,550/976

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 110,550

Greatest Common Factor of Numerators i.e. GCF of 110,550 is 110 .

LCM of Denominators means LCM of 278,976 as per the given fractions.

LCM of 278,976 is 135664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,550

GCF of Fractions 110/278,550/976 is 110/135664

2 110, 550
5 55, 275
11 11, 55
1, 5

∴ So the GCF of the given numbers is 2 x 5 x 11 = 110

Greatest Common Factor of 110,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,550 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 110,550 . The biggest common factor number is the GCF number.
So the greatest common factor 110,550 is 110.

Lets's calculate LCM of 278,976

2 278, 976
139, 488

∴ So the LCM of the given numbers is 2 x 139 x 488 = 135664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 110/135664

Therefore, the GCF of Fractions 110/278,550/976 is 110/135664

Least Common Multiple of 278,976 with GCF Formula

Least Common Multiple of 278,976 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 278,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,976) = 2

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

GCF(278,976) x common factors =2 x 1 = 2

LCM(278,976) = ( 278 × 976 ) / 2

LCM(278,976) = 271328 / 2

LCM(278,976) = 135664


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 110/278, 550/976

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 110/278, 550/976?

Answer: GCF of Numerators as per given numbers 110/278, 550/976 is

GCF of Numerators i.e. for 110,550 is 110

LCM of denominators i.e. for 278,976 is 135664.

Thus, GCF of Fractions is 110/135664.Finally, GCF of Fractions for 110/278, 550/976 is 110/135664.