Greatest Common Factor of 7509/985, 4292/6869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7509/985, 4292/6869

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 7509/985,4292/6869

Given fractions are 7509/985,4292/6869

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 7509,4292

Greatest Common Factor of Numerators i.e. GCF of 7509,4292 is 1 .

LCM of Denominators means LCM of 985,6869 as per the given fractions.

LCM of 985,6869 is 6765965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7509,4292

GCF of Fractions 7509/985,4292/6869 is 1/6765965

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

Greatest Common Factor of 7509,4292 By Matching Biggest Common Factor Method

Greatest Common Factor of 7509,4292 By Matching Biggest Common Factor Method

Factors of 7509

List of positive integer factors of 7509 that divides 7509 without a remainder.

1,3,2503,7509

Factors of 4292

List of positive integer factors of 4292 that divides 4292 without a remainder.

1,2,4,29,37,58,74,116,148,1073,2146,4292

Greatest Common Factor

We found the factors 7509,4292 . The biggest common factor number is the GCF number.
So the greatest common factor 7509,4292 is 1.

Lets's calculate LCM of 985,6869

Given numbers has no common factors except 1. So, there LCM is their product i.e 6765965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6765965

Therefore, the GCF of Fractions 7509/985,4292/6869 is 1/6765965

Least Common Multiple of 985,6869 with GCF Formula

Least Common Multiple of 985,6869 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 985,6869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,6869) = 1

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

GCF(985,6869) x common factors =1 x 1 = 1

LCM(985,6869) = ( 985 × 6869 ) / 1

LCM(985,6869) = 6765965 / 1

LCM(985,6869) = 6765965


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 7509/985, 4292/6869

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 7509/985, 4292/6869?

Answer: GCF of Numerators as per given numbers 7509/985, 4292/6869 is

GCF of Numerators i.e. for 7509,4292 is 1

LCM of denominators i.e. for 985,6869 is 6765965.

Thus, GCF of Fractions is 1/6765965.Finally, GCF of Fractions for 7509/985, 4292/6869 is 1/6765965.