Greatest Common Factor of 1377/825, 7736/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1377/825, 7736/708

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 1377/825,7736/708

Given fractions are 1377/825,7736/708

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 1377,7736

Greatest Common Factor of Numerators i.e. GCF of 1377,7736 is 1 .

LCM of Denominators means LCM of 825,708 as per the given fractions.

LCM of 825,708 is 194700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1377,7736

GCF of Fractions 1377/825,7736/708 is 1/194700

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

Greatest Common Factor of 1377,7736 By Matching Biggest Common Factor Method

Greatest Common Factor of 1377,7736 By Matching Biggest Common Factor Method

Factors of 1377

List of positive integer factors of 1377 that divides 1377 without a remainder.

1,3,9,17,27,51,81,153,459,1377

Factors of 7736

List of positive integer factors of 7736 that divides 7736 without a remainder.

1,2,4,8,967,1934,3868,7736

Greatest Common Factor

We found the factors 1377,7736 . The biggest common factor number is the GCF number.
So the greatest common factor 1377,7736 is 1.

Lets's calculate LCM of 825,708

3 825, 708
275, 236

∴ So the LCM of the given numbers is 3 x 275 x 236 = 194700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194700

Therefore, the GCF of Fractions 1377/825,7736/708 is 1/194700

Least Common Multiple of 825,708 with GCF Formula

Least Common Multiple of 825,708 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 825,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,708) = 3

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

GCF(825,708) x common factors =3 x 1 = 3

LCM(825,708) = ( 825 × 708 ) / 3

LCM(825,708) = 584100 / 3

LCM(825,708) = 194700


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 1377/825, 7736/708

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 1377/825, 7736/708?

Answer: GCF of Numerators as per given numbers 1377/825, 7736/708 is

GCF of Numerators i.e. for 1377,7736 is 1

LCM of denominators i.e. for 825,708 is 194700.

Thus, GCF of Fractions is 1/194700.Finally, GCF of Fractions for 1377/825, 7736/708 is 1/194700.