Greatest Common Factor of 1691/718, 9912/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1691/718, 9912/115

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 1691/718,9912/115

Given fractions are 1691/718,9912/115

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 1691,9912

Greatest Common Factor of Numerators i.e. GCF of 1691,9912 is 1 .

LCM of Denominators means LCM of 718,115 as per the given fractions.

LCM of 718,115 is 82570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1691,9912

GCF of Fractions 1691/718,9912/115 is 1/82570

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

Greatest Common Factor of 1691,9912 By Matching Biggest Common Factor Method

Greatest Common Factor of 1691,9912 By Matching Biggest Common Factor Method

Factors of 1691

List of positive integer factors of 1691 that divides 1691 without a remainder.

1,19,89,1691

Factors of 9912

List of positive integer factors of 9912 that divides 9912 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912

Greatest Common Factor

We found the factors 1691,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 1691,9912 is 1.

Lets's calculate LCM of 718,115

Given numbers has no common factors except 1. So, there LCM is their product i.e 82570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82570

Therefore, the GCF of Fractions 1691/718,9912/115 is 1/82570

Least Common Multiple of 718,115 with GCF Formula

Least Common Multiple of 718,115 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 718,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,115) = 1

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

GCF(718,115) x common factors =1 x 1 = 1

LCM(718,115) = ( 718 × 115 ) / 1

LCM(718,115) = 82570 / 1

LCM(718,115) = 82570


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 1691/718, 9912/115

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 1691/718, 9912/115?

Answer: GCF of Numerators as per given numbers 1691/718, 9912/115 is

GCF of Numerators i.e. for 1691,9912 is 1

LCM of denominators i.e. for 718,115 is 82570.

Thus, GCF of Fractions is 1/82570.Finally, GCF of Fractions for 1691/718, 9912/115 is 1/82570.