Greatest Common Factor of 70/688, 882/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/688, 882/316

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 70/688,882/316

Given fractions are 70/688,882/316

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 70,882

Greatest Common Factor of Numerators i.e. GCF of 70,882 is 14 .

LCM of Denominators means LCM of 688,316 as per the given fractions.

LCM of 688,316 is 54352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,882

GCF of Fractions 70/688,882/316 is 14/54352

2 70, 882
7 35, 441
5, 63

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 70,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,882 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 70,882 . The biggest common factor number is the GCF number.
So the greatest common factor 70,882 is 14.

Lets's calculate LCM of 688,316

2 688, 316
2 344, 158
172, 79

∴ So the LCM of the given numbers is 2 x 2 x 172 x 79 = 54352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/54352

Therefore, the GCF of Fractions 70/688,882/316 is 14/54352

Least Common Multiple of 688,316 with GCF Formula

Least Common Multiple of 688,316 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 688,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,316) = 4

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

GCF(688,316) x common factors =4 x 1 = 4

LCM(688,316) = ( 688 × 316 ) / 4

LCM(688,316) = 217408 / 4

LCM(688,316) = 54352


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 70/688, 882/316

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 70/688, 882/316?

Answer: GCF of Numerators as per given numbers 70/688, 882/316 is

GCF of Numerators i.e. for 70,882 is 14

LCM of denominators i.e. for 688,316 is 54352.

Thus, GCF of Fractions is 14/54352.Finally, GCF of Fractions for 70/688, 882/316 is 14/54352.