Greatest Common Factor of 5249/229, 1741/5252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5249/229, 1741/5252

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 5249/229,1741/5252

Given fractions are 5249/229,1741/5252

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 5249,1741

Greatest Common Factor of Numerators i.e. GCF of 5249,1741 is 1 .

LCM of Denominators means LCM of 229,5252 as per the given fractions.

LCM of 229,5252 is 1202708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5249,1741

GCF of Fractions 5249/229,1741/5252 is 1/1202708

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

Greatest Common Factor of 5249,1741 By Matching Biggest Common Factor Method

Greatest Common Factor of 5249,1741 By Matching Biggest Common Factor Method

Factors of 5249

List of positive integer factors of 5249 that divides 5249 without a remainder.

1,29,181,5249

Factors of 1741

List of positive integer factors of 1741 that divides 1741 without a remainder.

1,1741

Greatest Common Factor

We found the factors 5249,1741 . The biggest common factor number is the GCF number.
So the greatest common factor 5249,1741 is 1.

Lets's calculate LCM of 229,5252

Given numbers has no common factors except 1. So, there LCM is their product i.e 1202708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1202708

Therefore, the GCF of Fractions 5249/229,1741/5252 is 1/1202708

Least Common Multiple of 229,5252 with GCF Formula

Least Common Multiple of 229,5252 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 229,5252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,5252) = 1

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

GCF(229,5252) x common factors =1 x 1 = 1

LCM(229,5252) = ( 229 × 5252 ) / 1

LCM(229,5252) = 1202708 / 1

LCM(229,5252) = 1202708


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 5249/229, 1741/5252

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 5249/229, 1741/5252?

Answer: GCF of Numerators as per given numbers 5249/229, 1741/5252 is

GCF of Numerators i.e. for 5249,1741 is 1

LCM of denominators i.e. for 229,5252 is 1202708.

Thus, GCF of Fractions is 1/1202708.Finally, GCF of Fractions for 5249/229, 1741/5252 is 1/1202708.