Greatest Common Factor of 7417/836, 1386/7799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7417/836, 1386/7799

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 7417/836,1386/7799

Given fractions are 7417/836,1386/7799

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 7417,1386

Greatest Common Factor of Numerators i.e. GCF of 7417,1386 is 1 .

LCM of Denominators means LCM of 836,7799 as per the given fractions.

LCM of 836,7799 is 592724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7417,1386

GCF of Fractions 7417/836,1386/7799 is 1/592724

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

Greatest Common Factor of 7417,1386 By Matching Biggest Common Factor Method

Greatest Common Factor of 7417,1386 By Matching Biggest Common Factor Method

Factors of 7417

List of positive integer factors of 7417 that divides 7417 without a remainder.

1,7417

Factors of 1386

List of positive integer factors of 1386 that divides 1386 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386

Greatest Common Factor

We found the factors 7417,1386 . The biggest common factor number is the GCF number.
So the greatest common factor 7417,1386 is 1.

Lets's calculate LCM of 836,7799

11 836, 7799
76, 709

∴ So the LCM of the given numbers is 11 x 76 x 709 = 592724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/592724

Therefore, the GCF of Fractions 7417/836,1386/7799 is 1/592724

Least Common Multiple of 836,7799 with GCF Formula

Least Common Multiple of 836,7799 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 836,7799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,7799) = 11

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

GCF(836,7799) x common factors =11 x 1 = 11

LCM(836,7799) = ( 836 × 7799 ) / 11

LCM(836,7799) = 6519964 / 11

LCM(836,7799) = 592724


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 7417/836, 1386/7799

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 7417/836, 1386/7799?

Answer: GCF of Numerators as per given numbers 7417/836, 1386/7799 is

GCF of Numerators i.e. for 7417,1386 is 1

LCM of denominators i.e. for 836,7799 is 592724.

Thus, GCF of Fractions is 1/592724.Finally, GCF of Fractions for 7417/836, 1386/7799 is 1/592724.