Greatest Common Factor of 1113/348, 2640/3472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1113/348, 2640/3472

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 1113/348,2640/3472

Given fractions are 1113/348,2640/3472

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 1113,2640

Greatest Common Factor of Numerators i.e. GCF of 1113,2640 is 3 .

LCM of Denominators means LCM of 348,3472 as per the given fractions.

LCM of 348,3472 is 302064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1113,2640

GCF of Fractions 1113/348,2640/3472 is 3/302064

3 1113, 2640
371, 880

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

Greatest Common Factor of 1113,2640 By Matching Biggest Common Factor Method

Greatest Common Factor of 1113,2640 By Matching Biggest Common Factor Method

Factors of 1113

List of positive integer factors of 1113 that divides 1113 without a remainder.

1,3,7,21,53,159,371,1113

Factors of 2640

List of positive integer factors of 2640 that divides 2640 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640

Greatest Common Factor

We found the factors 1113,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 1113,2640 is 3.

Lets's calculate LCM of 348,3472

2 348, 3472
2 174, 1736
87, 868

∴ So the LCM of the given numbers is 2 x 2 x 87 x 868 = 302064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/302064

Therefore, the GCF of Fractions 1113/348,2640/3472 is 3/302064

Least Common Multiple of 348,3472 with GCF Formula

Least Common Multiple of 348,3472 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 348,3472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,3472) = 4

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

GCF(348,3472) x common factors =4 x 1 = 4

LCM(348,3472) = ( 348 × 3472 ) / 4

LCM(348,3472) = 1208256 / 4

LCM(348,3472) = 302064


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 1113/348, 2640/3472

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 1113/348, 2640/3472?

Answer: GCF of Numerators as per given numbers 1113/348, 2640/3472 is

GCF of Numerators i.e. for 1113,2640 is 3

LCM of denominators i.e. for 348,3472 is 302064.

Thus, GCF of Fractions is 3/302064.Finally, GCF of Fractions for 1113/348, 2640/3472 is 3/302064.