Greatest Common Factor of 807/13, 976/77, 627/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 807/13, 976/77, 627/411

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 807/13,976/77,627/411

Given fractions are 807/13,976/77,627/411

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 807,976,627

Greatest Common Factor of Numerators i.e. GCF of 807,976,627 is 1 .

LCM of Denominators means LCM of 13,77,411 as per the given fractions.

LCM of 13,77,411 is 411411 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,976,627

GCF of Fractions 807/13,976/77,627/411 is 1/411411

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

Greatest Common Factor of 807,976,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,976,627 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 807,976,627 . The biggest common factor number is the GCF number.
So the greatest common factor 807,976,627 is 1.

Lets's calculate LCM of 13,77,411

Given numbers has no common factors except 1. So, there LCM is their product i.e 411411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411411

Therefore, the GCF of Fractions 807/13,976/77,627/411 is 1/411411

Least Common Multiple of 13,77,411 with GCF Formula

Least Common Multiple of 13,77,411 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 13,77,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,77,411) = 1

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

GCF(13,77,411) x common factors =1 x 1 = 1

LCM(13,77,411) = ( 13 × 77 × 411 ) / 1

LCM(13,77,411) = 411411 / 1

LCM(13,77,411) = 411411


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 807/13, 976/77, 627/411

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 807/13, 976/77, 627/411?

Answer: GCF of Numerators as per given numbers 807/13, 976/77, 627/411 is

GCF of Numerators i.e. for 807,976,627 is 1

LCM of denominators i.e. for 13,77,411 is 411411.

Thus, GCF of Fractions is 1/411411.Finally, GCF of Fractions for 807/13, 976/77, 627/411 is 1/411411.