Greatest Common Factor of 646/867, 7787/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 646/867, 7787/836

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 646/867,7787/836

Given fractions are 646/867,7787/836

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 646,7787

Greatest Common Factor of Numerators i.e. GCF of 646,7787 is 1 .

LCM of Denominators means LCM of 867,836 as per the given fractions.

LCM of 867,836 is 724812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 646,7787

GCF of Fractions 646/867,7787/836 is 1/724812

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

Greatest Common Factor of 646,7787 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,7787 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 7787

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

1,13,599,7787

Greatest Common Factor

We found the factors 646,7787 . The biggest common factor number is the GCF number.
So the greatest common factor 646,7787 is 1.

Lets's calculate LCM of 867,836

Given numbers has no common factors except 1. So, there LCM is their product i.e 724812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724812

Therefore, the GCF of Fractions 646/867,7787/836 is 1/724812

Least Common Multiple of 867,836 with GCF Formula

Least Common Multiple of 867,836 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 867,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,836) = 1

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

GCF(867,836) x common factors =1 x 1 = 1

LCM(867,836) = ( 867 × 836 ) / 1

LCM(867,836) = 724812 / 1

LCM(867,836) = 724812


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 646/867, 7787/836

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 646/867, 7787/836?

Answer: GCF of Numerators as per given numbers 646/867, 7787/836 is

GCF of Numerators i.e. for 646,7787 is 1

LCM of denominators i.e. for 867,836 is 724812.

Thus, GCF of Fractions is 1/724812.Finally, GCF of Fractions for 646/867, 7787/836 is 1/724812.