Greatest Common Factor of 1720/270, 7822/6416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1720/270, 7822/6416

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 1720/270,7822/6416

Given fractions are 1720/270,7822/6416

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 1720,7822

Greatest Common Factor of Numerators i.e. GCF of 1720,7822 is 2 .

LCM of Denominators means LCM of 270,6416 as per the given fractions.

LCM of 270,6416 is 866160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1720,7822

GCF of Fractions 1720/270,7822/6416 is 2/866160

2 1720, 7822
860, 3911

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

Greatest Common Factor of 1720,7822 By Matching Biggest Common Factor Method

Greatest Common Factor of 1720,7822 By Matching Biggest Common Factor Method

Factors of 1720

List of positive integer factors of 1720 that divides 1720 without a remainder.

1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720

Factors of 7822

List of positive integer factors of 7822 that divides 7822 without a remainder.

1,2,3911,7822

Greatest Common Factor

We found the factors 1720,7822 . The biggest common factor number is the GCF number.
So the greatest common factor 1720,7822 is 2.

Lets's calculate LCM of 270,6416

2 270, 6416
135, 3208

∴ So the LCM of the given numbers is 2 x 135 x 3208 = 866160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/866160

Therefore, the GCF of Fractions 1720/270,7822/6416 is 2/866160

Least Common Multiple of 270,6416 with GCF Formula

Least Common Multiple of 270,6416 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 270,6416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,6416) = 2

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

GCF(270,6416) x common factors =2 x 1 = 2

LCM(270,6416) = ( 270 × 6416 ) / 2

LCM(270,6416) = 1732320 / 2

LCM(270,6416) = 866160


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 1720/270, 7822/6416

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 1720/270, 7822/6416?

Answer: GCF of Numerators as per given numbers 1720/270, 7822/6416 is

GCF of Numerators i.e. for 1720,7822 is 2

LCM of denominators i.e. for 270,6416 is 866160.

Thus, GCF of Fractions is 2/866160.Finally, GCF of Fractions for 1720/270, 7822/6416 is 2/866160.