Greatest Common Factor of 5244/238, 8025/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5244/238, 8025/490

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 5244/238,8025/490

Given fractions are 5244/238,8025/490

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 5244,8025

Greatest Common Factor of Numerators i.e. GCF of 5244,8025 is 3 .

LCM of Denominators means LCM of 238,490 as per the given fractions.

LCM of 238,490 is 8330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5244,8025

GCF of Fractions 5244/238,8025/490 is 3/8330

3 5244, 8025
1748, 2675

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5244,8025 By Matching Biggest Common Factor Method

Greatest Common Factor of 5244,8025 By Matching Biggest Common Factor Method

Factors of 5244

List of positive integer factors of 5244 that divides 5244 without a remainder.

1,2,3,4,6,12,19,23,38,46,57,69,76,92,114,138,228,276,437,874,1311,1748,2622,5244

Factors of 8025

List of positive integer factors of 8025 that divides 8025 without a remainder.

1,3,5,15,25,75,107,321,535,1605,2675,8025

Greatest Common Factor

We found the factors 5244,8025 . The biggest common factor number is the GCF number.
So the greatest common factor 5244,8025 is 3.

Lets's calculate LCM of 238,490

2 238, 490
7 119, 245
17, 35

∴ So the LCM of the given numbers is 2 x 7 x 17 x 35 = 8330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8330

Therefore, the GCF of Fractions 5244/238,8025/490 is 3/8330

Least Common Multiple of 238,490 with GCF Formula

Least Common Multiple of 238,490 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 238,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,490) = 14

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

GCF(238,490) x common factors =14 x 1 = 14

LCM(238,490) = ( 238 × 490 ) / 14

LCM(238,490) = 116620 / 14

LCM(238,490) = 8330


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 5244/238, 8025/490

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 5244/238, 8025/490?

Answer: GCF of Numerators as per given numbers 5244/238, 8025/490 is

GCF of Numerators i.e. for 5244,8025 is 3

LCM of denominators i.e. for 238,490 is 8330.

Thus, GCF of Fractions is 3/8330.Finally, GCF of Fractions for 5244/238, 8025/490 is 3/8330.