Greatest Common Factor of 7244/35, 2249/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7244/35, 2249/476

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 7244/35,2249/476

Given fractions are 7244/35,2249/476

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 7244,2249

Greatest Common Factor of Numerators i.e. GCF of 7244,2249 is 1 .

LCM of Denominators means LCM of 35,476 as per the given fractions.

LCM of 35,476 is 2380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7244,2249

GCF of Fractions 7244/35,2249/476 is 1/2380

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

Greatest Common Factor of 7244,2249 By Matching Biggest Common Factor Method

Greatest Common Factor of 7244,2249 By Matching Biggest Common Factor Method

Factors of 7244

List of positive integer factors of 7244 that divides 7244 without a remainder.

1,2,4,1811,3622,7244

Factors of 2249

List of positive integer factors of 2249 that divides 2249 without a remainder.

1,13,173,2249

Greatest Common Factor

We found the factors 7244,2249 . The biggest common factor number is the GCF number.
So the greatest common factor 7244,2249 is 1.

Lets's calculate LCM of 35,476

7 35, 476
5, 68

∴ So the LCM of the given numbers is 7 x 5 x 68 = 2380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2380

Therefore, the GCF of Fractions 7244/35,2249/476 is 1/2380

Least Common Multiple of 35,476 with GCF Formula

Least Common Multiple of 35,476 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 35,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,476) = 7

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

GCF(35,476) x common factors =7 x 1 = 7

LCM(35,476) = ( 35 × 476 ) / 7

LCM(35,476) = 16660 / 7

LCM(35,476) = 2380


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 7244/35, 2249/476

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 7244/35, 2249/476?

Answer: GCF of Numerators as per given numbers 7244/35, 2249/476 is

GCF of Numerators i.e. for 7244,2249 is 1

LCM of denominators i.e. for 35,476 is 2380.

Thus, GCF of Fractions is 1/2380.Finally, GCF of Fractions for 7244/35, 2249/476 is 1/2380.