Greatest Common Factor of 2954/495, 1120/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2954/495, 1120/710

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 2954/495,1120/710

Given fractions are 2954/495,1120/710

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 2954,1120

Greatest Common Factor of Numerators i.e. GCF of 2954,1120 is 14 .

LCM of Denominators means LCM of 495,710 as per the given fractions.

LCM of 495,710 is 70290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2954,1120

GCF of Fractions 2954/495,1120/710 is 14/70290

2 2954, 1120
7 1477, 560
211, 80

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 2954,1120 By Matching Biggest Common Factor Method

Greatest Common Factor of 2954,1120 By Matching Biggest Common Factor Method

Factors of 2954

List of positive integer factors of 2954 that divides 2954 without a remainder.

1,2,7,14,211,422,1477,2954

Factors of 1120

List of positive integer factors of 1120 that divides 1120 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120

Greatest Common Factor

We found the factors 2954,1120 . The biggest common factor number is the GCF number.
So the greatest common factor 2954,1120 is 14.

Lets's calculate LCM of 495,710

5 495, 710
99, 142

∴ So the LCM of the given numbers is 5 x 99 x 142 = 70290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/70290

Therefore, the GCF of Fractions 2954/495,1120/710 is 14/70290

Least Common Multiple of 495,710 with GCF Formula

Least Common Multiple of 495,710 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 495,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,710) = 5

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

GCF(495,710) x common factors =5 x 1 = 5

LCM(495,710) = ( 495 × 710 ) / 5

LCM(495,710) = 351450 / 5

LCM(495,710) = 70290


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 2954/495, 1120/710

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 2954/495, 1120/710?

Answer: GCF of Numerators as per given numbers 2954/495, 1120/710 is

GCF of Numerators i.e. for 2954,1120 is 14

LCM of denominators i.e. for 495,710 is 70290.

Thus, GCF of Fractions is 14/70290.Finally, GCF of Fractions for 2954/495, 1120/710 is 14/70290.