Greatest Common Factor of 708/66, 676/2770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/66, 676/2770

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 708/66,676/2770

Given fractions are 708/66,676/2770

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 708,676

Greatest Common Factor of Numerators i.e. GCF of 708,676 is 4 .

LCM of Denominators means LCM of 66,2770 as per the given fractions.

LCM of 66,2770 is 91410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,676

GCF of Fractions 708/66,676/2770 is 4/91410

2 708, 676
2 354, 338
177, 169

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 708,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,676 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 708,676 . The biggest common factor number is the GCF number.
So the greatest common factor 708,676 is 4.

Lets's calculate LCM of 66,2770

2 66, 2770
33, 1385

∴ So the LCM of the given numbers is 2 x 33 x 1385 = 91410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/91410

Therefore, the GCF of Fractions 708/66,676/2770 is 4/91410

Least Common Multiple of 66,2770 with GCF Formula

Least Common Multiple of 66,2770 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 66,2770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,2770) = 2

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

GCF(66,2770) x common factors =2 x 1 = 2

LCM(66,2770) = ( 66 × 2770 ) / 2

LCM(66,2770) = 182820 / 2

LCM(66,2770) = 91410


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 708/66, 676/2770

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 708/66, 676/2770?

Answer: GCF of Numerators as per given numbers 708/66, 676/2770 is

GCF of Numerators i.e. for 708,676 is 4

LCM of denominators i.e. for 66,2770 is 91410.

Thus, GCF of Fractions is 4/91410.Finally, GCF of Fractions for 708/66, 676/2770 is 4/91410.