Greatest Common Factor of 5680/242, 5512/3514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5680/242, 5512/3514

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 5680/242,5512/3514

Given fractions are 5680/242,5512/3514

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 5680,5512

Greatest Common Factor of Numerators i.e. GCF of 5680,5512 is 8 .

LCM of Denominators means LCM of 242,3514 as per the given fractions.

LCM of 242,3514 is 425194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5680,5512

GCF of Fractions 5680/242,5512/3514 is 8/425194

2 5680, 5512
2 2840, 2756
2 1420, 1378
710, 689

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5680,5512 By Matching Biggest Common Factor Method

Greatest Common Factor of 5680,5512 By Matching Biggest Common Factor Method

Factors of 5680

List of positive integer factors of 5680 that divides 5680 without a remainder.

1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680

Factors of 5512

List of positive integer factors of 5512 that divides 5512 without a remainder.

1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512

Greatest Common Factor

We found the factors 5680,5512 . The biggest common factor number is the GCF number.
So the greatest common factor 5680,5512 is 8.

Lets's calculate LCM of 242,3514

2 242, 3514
121, 1757

∴ So the LCM of the given numbers is 2 x 121 x 1757 = 425194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/425194

Therefore, the GCF of Fractions 5680/242,5512/3514 is 8/425194

Least Common Multiple of 242,3514 with GCF Formula

Least Common Multiple of 242,3514 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 242,3514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,3514) = 2

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

GCF(242,3514) x common factors =2 x 1 = 2

LCM(242,3514) = ( 242 × 3514 ) / 2

LCM(242,3514) = 850388 / 2

LCM(242,3514) = 425194


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 5680/242, 5512/3514

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 5680/242, 5512/3514?

Answer: GCF of Numerators as per given numbers 5680/242, 5512/3514 is

GCF of Numerators i.e. for 5680,5512 is 8

LCM of denominators i.e. for 242,3514 is 425194.

Thus, GCF of Fractions is 8/425194.Finally, GCF of Fractions for 5680/242, 5512/3514 is 8/425194.