Greatest Common Factor of 4997/656, 2188/7333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4997/656, 2188/7333

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 4997/656,2188/7333

Given fractions are 4997/656,2188/7333

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 4997,2188

Greatest Common Factor of Numerators i.e. GCF of 4997,2188 is 1 .

LCM of Denominators means LCM of 656,7333 as per the given fractions.

LCM of 656,7333 is 4810448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4997,2188

GCF of Fractions 4997/656,2188/7333 is 1/4810448

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

Greatest Common Factor of 4997,2188 By Matching Biggest Common Factor Method

Greatest Common Factor of 4997,2188 By Matching Biggest Common Factor Method

Factors of 4997

List of positive integer factors of 4997 that divides 4997 without a remainder.

1,19,263,4997

Factors of 2188

List of positive integer factors of 2188 that divides 2188 without a remainder.

1,2,4,547,1094,2188

Greatest Common Factor

We found the factors 4997,2188 . The biggest common factor number is the GCF number.
So the greatest common factor 4997,2188 is 1.

Lets's calculate LCM of 656,7333

Given numbers has no common factors except 1. So, there LCM is their product i.e 4810448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4810448

Therefore, the GCF of Fractions 4997/656,2188/7333 is 1/4810448

Least Common Multiple of 656,7333 with GCF Formula

Least Common Multiple of 656,7333 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 656,7333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,7333) = 1

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

GCF(656,7333) x common factors =1 x 1 = 1

LCM(656,7333) = ( 656 × 7333 ) / 1

LCM(656,7333) = 4810448 / 1

LCM(656,7333) = 4810448


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 4997/656, 2188/7333

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 4997/656, 2188/7333?

Answer: GCF of Numerators as per given numbers 4997/656, 2188/7333 is

GCF of Numerators i.e. for 4997,2188 is 1

LCM of denominators i.e. for 656,7333 is 4810448.

Thus, GCF of Fractions is 1/4810448.Finally, GCF of Fractions for 4997/656, 2188/7333 is 1/4810448.