Greatest Common Factor of 1691/634, 7472/8063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1691/634, 7472/8063

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 1691/634,7472/8063

Given fractions are 1691/634,7472/8063

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 1691,7472

Greatest Common Factor of Numerators i.e. GCF of 1691,7472 is 1 .

LCM of Denominators means LCM of 634,8063 as per the given fractions.

LCM of 634,8063 is 5111942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1691,7472

GCF of Fractions 1691/634,7472/8063 is 1/5111942

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

Greatest Common Factor of 1691,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 1691,7472 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 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 1691,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 1691,7472 is 1.

Lets's calculate LCM of 634,8063

Given numbers has no common factors except 1. So, there LCM is their product i.e 5111942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5111942

Therefore, the GCF of Fractions 1691/634,7472/8063 is 1/5111942

Least Common Multiple of 634,8063 with GCF Formula

Least Common Multiple of 634,8063 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 634,8063 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,8063) = 1

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

GCF(634,8063) x common factors =1 x 1 = 1

LCM(634,8063) = ( 634 × 8063 ) / 1

LCM(634,8063) = 5111942 / 1

LCM(634,8063) = 5111942


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 1691/634, 7472/8063

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 1691/634, 7472/8063?

Answer: GCF of Numerators as per given numbers 1691/634, 7472/8063 is

GCF of Numerators i.e. for 1691,7472 is 1

LCM of denominators i.e. for 634,8063 is 5111942.

Thus, GCF of Fractions is 1/5111942.Finally, GCF of Fractions for 1691/634, 7472/8063 is 1/5111942.