Greatest Common Factor of 4537/824, 8225/5248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4537/824, 8225/5248

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 4537/824,8225/5248

Given fractions are 4537/824,8225/5248

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 4537,8225

Greatest Common Factor of Numerators i.e. GCF of 4537,8225 is 1 .

LCM of Denominators means LCM of 824,5248 as per the given fractions.

LCM of 824,5248 is 540544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4537,8225

GCF of Fractions 4537/824,8225/5248 is 1/540544

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

Greatest Common Factor of 4537,8225 By Matching Biggest Common Factor Method

Greatest Common Factor of 4537,8225 By Matching Biggest Common Factor Method

Factors of 4537

List of positive integer factors of 4537 that divides 4537 without a remainder.

1,13,349,4537

Factors of 8225

List of positive integer factors of 8225 that divides 8225 without a remainder.

1,5,7,25,35,47,175,235,329,1175,1645,8225

Greatest Common Factor

We found the factors 4537,8225 . The biggest common factor number is the GCF number.
So the greatest common factor 4537,8225 is 1.

Lets's calculate LCM of 824,5248

2 824, 5248
2 412, 2624
2 206, 1312
103, 656

∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 656 = 540544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540544

Therefore, the GCF of Fractions 4537/824,8225/5248 is 1/540544

Least Common Multiple of 824,5248 with GCF Formula

Least Common Multiple of 824,5248 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 824,5248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,5248) = 8

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

GCF(824,5248) x common factors =8 x 1 = 8

LCM(824,5248) = ( 824 × 5248 ) / 8

LCM(824,5248) = 4324352 / 8

LCM(824,5248) = 540544


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 4537/824, 8225/5248

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 4537/824, 8225/5248?

Answer: GCF of Numerators as per given numbers 4537/824, 8225/5248 is

GCF of Numerators i.e. for 4537,8225 is 1

LCM of denominators i.e. for 824,5248 is 540544.

Thus, GCF of Fractions is 1/540544.Finally, GCF of Fractions for 4537/824, 8225/5248 is 1/540544.