Greatest Common Factor of 752/414, 6777/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/414, 6777/270

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 752/414,6777/270

Given fractions are 752/414,6777/270

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 752,6777

Greatest Common Factor of Numerators i.e. GCF of 752,6777 is 1 .

LCM of Denominators means LCM of 414,270 as per the given fractions.

LCM of 414,270 is 6210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,6777

GCF of Fractions 752/414,6777/270 is 1/6210

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

Greatest Common Factor of 752,6777 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,6777 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 6777

List of positive integer factors of 6777 that divides 6777 without a remainder.

1,3,9,27,251,753,2259,6777

Greatest Common Factor

We found the factors 752,6777 . The biggest common factor number is the GCF number.
So the greatest common factor 752,6777 is 1.

Lets's calculate LCM of 414,270

2 414, 270
3 207, 135
3 69, 45
23, 15

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 15 = 6210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6210

Therefore, the GCF of Fractions 752/414,6777/270 is 1/6210

Least Common Multiple of 414,270 with GCF Formula

Least Common Multiple of 414,270 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 414,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,270) = 18

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

GCF(414,270) x common factors =18 x 1 = 18

LCM(414,270) = ( 414 × 270 ) / 18

LCM(414,270) = 111780 / 18

LCM(414,270) = 6210


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 752/414, 6777/270

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 752/414, 6777/270?

Answer: GCF of Numerators as per given numbers 752/414, 6777/270 is

GCF of Numerators i.e. for 752,6777 is 1

LCM of denominators i.e. for 414,270 is 6210.

Thus, GCF of Fractions is 1/6210.Finally, GCF of Fractions for 752/414, 6777/270 is 1/6210.