Greatest Common Factor of 7009/961, 4855/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7009/961, 4855/301

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 7009/961,4855/301

Given fractions are 7009/961,4855/301

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 7009,4855

Greatest Common Factor of Numerators i.e. GCF of 7009,4855 is 1 .

LCM of Denominators means LCM of 961,301 as per the given fractions.

LCM of 961,301 is 289261 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7009,4855

GCF of Fractions 7009/961,4855/301 is 1/289261

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

Greatest Common Factor of 7009,4855 By Matching Biggest Common Factor Method

Greatest Common Factor of 7009,4855 By Matching Biggest Common Factor Method

Factors of 7009

List of positive integer factors of 7009 that divides 7009 without a remainder.

1,43,163,7009

Factors of 4855

List of positive integer factors of 4855 that divides 4855 without a remainder.

1,5,971,4855

Greatest Common Factor

We found the factors 7009,4855 . The biggest common factor number is the GCF number.
So the greatest common factor 7009,4855 is 1.

Lets's calculate LCM of 961,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 289261

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289261

Therefore, the GCF of Fractions 7009/961,4855/301 is 1/289261

Least Common Multiple of 961,301 with GCF Formula

Least Common Multiple of 961,301 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 961,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,301) = 1

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

GCF(961,301) x common factors =1 x 1 = 1

LCM(961,301) = ( 961 × 301 ) / 1

LCM(961,301) = 289261 / 1

LCM(961,301) = 289261


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 7009/961, 4855/301

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 7009/961, 4855/301?

Answer: GCF of Numerators as per given numbers 7009/961, 4855/301 is

GCF of Numerators i.e. for 7009,4855 is 1

LCM of denominators i.e. for 961,301 is 289261.

Thus, GCF of Fractions is 1/289261.Finally, GCF of Fractions for 7009/961, 4855/301 is 1/289261.