Greatest Common Factor of 7787/878, 1996/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7787/878, 1996/827

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 7787/878,1996/827

Given fractions are 7787/878,1996/827

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 7787,1996

Greatest Common Factor of Numerators i.e. GCF of 7787,1996 is 1 .

LCM of Denominators means LCM of 878,827 as per the given fractions.

LCM of 878,827 is 726106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7787,1996

GCF of Fractions 7787/878,1996/827 is 1/726106

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

Greatest Common Factor of 7787,1996 By Matching Biggest Common Factor Method

Greatest Common Factor of 7787,1996 By Matching Biggest Common Factor Method

Factors of 7787

List of positive integer factors of 7787 that divides 7787 without a remainder.

1,13,599,7787

Factors of 1996

List of positive integer factors of 1996 that divides 1996 without a remainder.

1,2,4,499,998,1996

Greatest Common Factor

We found the factors 7787,1996 . The biggest common factor number is the GCF number.
So the greatest common factor 7787,1996 is 1.

Lets's calculate LCM of 878,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 726106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/726106

Therefore, the GCF of Fractions 7787/878,1996/827 is 1/726106

Least Common Multiple of 878,827 with GCF Formula

Least Common Multiple of 878,827 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 878,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,827) = 1

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

GCF(878,827) x common factors =1 x 1 = 1

LCM(878,827) = ( 878 × 827 ) / 1

LCM(878,827) = 726106 / 1

LCM(878,827) = 726106


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 7787/878, 1996/827

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 7787/878, 1996/827?

Answer: GCF of Numerators as per given numbers 7787/878, 1996/827 is

GCF of Numerators i.e. for 7787,1996 is 1

LCM of denominators i.e. for 878,827 is 726106.

Thus, GCF of Fractions is 1/726106.Finally, GCF of Fractions for 7787/878, 1996/827 is 1/726106.