Greatest Common Factor of 688/78, 7205/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/78, 7205/870

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 688/78,7205/870

Given fractions are 688/78,7205/870

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 688,7205

Greatest Common Factor of Numerators i.e. GCF of 688,7205 is 1 .

LCM of Denominators means LCM of 78,870 as per the given fractions.

LCM of 78,870 is 11310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,7205

GCF of Fractions 688/78,7205/870 is 1/11310

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

Greatest Common Factor of 688,7205 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,7205 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 7205

List of positive integer factors of 7205 that divides 7205 without a remainder.

1,5,11,55,131,655,1441,7205

Greatest Common Factor

We found the factors 688,7205 . The biggest common factor number is the GCF number.
So the greatest common factor 688,7205 is 1.

Lets's calculate LCM of 78,870

2 78, 870
3 39, 435
13, 145

∴ So the LCM of the given numbers is 2 x 3 x 13 x 145 = 11310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11310

Therefore, the GCF of Fractions 688/78,7205/870 is 1/11310

Least Common Multiple of 78,870 with GCF Formula

Least Common Multiple of 78,870 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 78,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,870) = 6

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

GCF(78,870) x common factors =6 x 1 = 6

LCM(78,870) = ( 78 × 870 ) / 6

LCM(78,870) = 67860 / 6

LCM(78,870) = 11310


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 688/78, 7205/870

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 688/78, 7205/870?

Answer: GCF of Numerators as per given numbers 688/78, 7205/870 is

GCF of Numerators i.e. for 688,7205 is 1

LCM of denominators i.e. for 78,870 is 11310.

Thus, GCF of Fractions is 1/11310.Finally, GCF of Fractions for 688/78, 7205/870 is 1/11310.