Greatest Common Factor of 3347/72, 3520/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3347/72, 3520/711

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 3347/72,3520/711

Given fractions are 3347/72,3520/711

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 3347,3520

Greatest Common Factor of Numerators i.e. GCF of 3347,3520 is 1 .

LCM of Denominators means LCM of 72,711 as per the given fractions.

LCM of 72,711 is 5688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3347,3520

GCF of Fractions 3347/72,3520/711 is 1/5688

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3347,3520 By Matching Biggest Common Factor Method

Greatest Common Factor of 3347,3520 By Matching Biggest Common Factor Method

Factors of 3347

List of positive integer factors of 3347 that divides 3347 without a remainder.

1,3347

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Greatest Common Factor

We found the factors 3347,3520 . The biggest common factor number is the GCF number.
So the greatest common factor 3347,3520 is 1.

Lets's calculate LCM of 72,711

3 72, 711
3 24, 237
8, 79

∴ So the LCM of the given numbers is 3 x 3 x 8 x 79 = 5688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5688

Therefore, the GCF of Fractions 3347/72,3520/711 is 1/5688

Least Common Multiple of 72,711 with GCF Formula

Least Common Multiple of 72,711 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 72,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,711) = 9

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

GCF(72,711) x common factors =9 x 1 = 9

LCM(72,711) = ( 72 × 711 ) / 9

LCM(72,711) = 51192 / 9

LCM(72,711) = 5688


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 3347/72, 3520/711

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 3347/72, 3520/711?

Answer: GCF of Numerators as per given numbers 3347/72, 3520/711 is

GCF of Numerators i.e. for 3347,3520 is 1

LCM of denominators i.e. for 72,711 is 5688.

Thus, GCF of Fractions is 1/5688.Finally, GCF of Fractions for 3347/72, 3520/711 is 1/5688.