Greatest Common Factor of 7069/975, 6553/7798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7069/975, 6553/7798

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 7069/975,6553/7798

Given fractions are 7069/975,6553/7798

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 7069,6553

Greatest Common Factor of Numerators i.e. GCF of 7069,6553 is 1 .

LCM of Denominators means LCM of 975,7798 as per the given fractions.

LCM of 975,7798 is 7603050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7069,6553

GCF of Fractions 7069/975,6553/7798 is 1/7603050

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

Greatest Common Factor of 7069,6553 By Matching Biggest Common Factor Method

Greatest Common Factor of 7069,6553 By Matching Biggest Common Factor Method

Factors of 7069

List of positive integer factors of 7069 that divides 7069 without a remainder.

1,7069

Factors of 6553

List of positive integer factors of 6553 that divides 6553 without a remainder.

1,6553

Greatest Common Factor

We found the factors 7069,6553 . The biggest common factor number is the GCF number.
So the greatest common factor 7069,6553 is 1.

Lets's calculate LCM of 975,7798

Given numbers has no common factors except 1. So, there LCM is their product i.e 7603050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7603050

Therefore, the GCF of Fractions 7069/975,6553/7798 is 1/7603050

Least Common Multiple of 975,7798 with GCF Formula

Least Common Multiple of 975,7798 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 975,7798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,7798) = 1

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

GCF(975,7798) x common factors =1 x 1 = 1

LCM(975,7798) = ( 975 × 7798 ) / 1

LCM(975,7798) = 7603050 / 1

LCM(975,7798) = 7603050


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 7069/975, 6553/7798

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 7069/975, 6553/7798?

Answer: GCF of Numerators as per given numbers 7069/975, 6553/7798 is

GCF of Numerators i.e. for 7069,6553 is 1

LCM of denominators i.e. for 975,7798 is 7603050.

Thus, GCF of Fractions is 1/7603050.Finally, GCF of Fractions for 7069/975, 6553/7798 is 1/7603050.