Greatest Common Factor of 685/726, 7780/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 685/726, 7780/147

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 685/726,7780/147

Given fractions are 685/726,7780/147

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 685,7780

Greatest Common Factor of Numerators i.e. GCF of 685,7780 is 5 .

LCM of Denominators means LCM of 726,147 as per the given fractions.

LCM of 726,147 is 35574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 685,7780

GCF of Fractions 685/726,7780/147 is 5/35574

5 685, 7780
137, 1556

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 685,7780 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,7780 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 7780

List of positive integer factors of 7780 that divides 7780 without a remainder.

1,2,4,5,10,20,389,778,1556,1945,3890,7780

Greatest Common Factor

We found the factors 685,7780 . The biggest common factor number is the GCF number.
So the greatest common factor 685,7780 is 5.

Lets's calculate LCM of 726,147

3 726, 147
242, 49

∴ So the LCM of the given numbers is 3 x 242 x 49 = 35574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/35574

Therefore, the GCF of Fractions 685/726,7780/147 is 5/35574

Least Common Multiple of 726,147 with GCF Formula

Least Common Multiple of 726,147 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 726,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,147) = 3

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

GCF(726,147) x common factors =3 x 1 = 3

LCM(726,147) = ( 726 × 147 ) / 3

LCM(726,147) = 106722 / 3

LCM(726,147) = 35574


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 685/726, 7780/147

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 685/726, 7780/147?

Answer: GCF of Numerators as per given numbers 685/726, 7780/147 is

GCF of Numerators i.e. for 685,7780 is 5

LCM of denominators i.e. for 726,147 is 35574.

Thus, GCF of Fractions is 5/35574.Finally, GCF of Fractions for 685/726, 7780/147 is 5/35574.