Greatest Common Factor of 4502/700, 2199/3738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4502/700, 2199/3738

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 4502/700,2199/3738

Given fractions are 4502/700,2199/3738

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 4502,2199

Greatest Common Factor of Numerators i.e. GCF of 4502,2199 is 1 .

LCM of Denominators means LCM of 700,3738 as per the given fractions.

LCM of 700,3738 is 186900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4502,2199

GCF of Fractions 4502/700,2199/3738 is 1/186900

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

Greatest Common Factor of 4502,2199 By Matching Biggest Common Factor Method

Greatest Common Factor of 4502,2199 By Matching Biggest Common Factor Method

Factors of 4502

List of positive integer factors of 4502 that divides 4502 without a remainder.

1,2,2251,4502

Factors of 2199

List of positive integer factors of 2199 that divides 2199 without a remainder.

1,3,733,2199

Greatest Common Factor

We found the factors 4502,2199 . The biggest common factor number is the GCF number.
So the greatest common factor 4502,2199 is 1.

Lets's calculate LCM of 700,3738

2 700, 3738
7 350, 1869
50, 267

∴ So the LCM of the given numbers is 2 x 7 x 50 x 267 = 186900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186900

Therefore, the GCF of Fractions 4502/700,2199/3738 is 1/186900

Least Common Multiple of 700,3738 with GCF Formula

Least Common Multiple of 700,3738 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 700,3738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,3738) = 14

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

GCF(700,3738) x common factors =14 x 1 = 14

LCM(700,3738) = ( 700 × 3738 ) / 14

LCM(700,3738) = 2616600 / 14

LCM(700,3738) = 186900


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 4502/700, 2199/3738

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 4502/700, 2199/3738?

Answer: GCF of Numerators as per given numbers 4502/700, 2199/3738 is

GCF of Numerators i.e. for 4502,2199 is 1

LCM of denominators i.e. for 700,3738 is 186900.

Thus, GCF of Fractions is 1/186900.Finally, GCF of Fractions for 4502/700, 2199/3738 is 1/186900.