Greatest Common Factor of 4528/253, 1145/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4528/253, 1145/349

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 4528/253,1145/349

Given fractions are 4528/253,1145/349

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 4528,1145

Greatest Common Factor of Numerators i.e. GCF of 4528,1145 is 1 .

LCM of Denominators means LCM of 253,349 as per the given fractions.

LCM of 253,349 is 88297 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4528,1145

GCF of Fractions 4528/253,1145/349 is 1/88297

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

Greatest Common Factor of 4528,1145 By Matching Biggest Common Factor Method

Greatest Common Factor of 4528,1145 By Matching Biggest Common Factor Method

Factors of 4528

List of positive integer factors of 4528 that divides 4528 without a remainder.

1,2,4,8,16,283,566,1132,2264,4528

Factors of 1145

List of positive integer factors of 1145 that divides 1145 without a remainder.

1,5,229,1145

Greatest Common Factor

We found the factors 4528,1145 . The biggest common factor number is the GCF number.
So the greatest common factor 4528,1145 is 1.

Lets's calculate LCM of 253,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 88297

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88297

Therefore, the GCF of Fractions 4528/253,1145/349 is 1/88297

Least Common Multiple of 253,349 with GCF Formula

Least Common Multiple of 253,349 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 253,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,349) = 1

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

GCF(253,349) x common factors =1 x 1 = 1

LCM(253,349) = ( 253 × 349 ) / 1

LCM(253,349) = 88297 / 1

LCM(253,349) = 88297


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 4528/253, 1145/349

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 4528/253, 1145/349?

Answer: GCF of Numerators as per given numbers 4528/253, 1145/349 is

GCF of Numerators i.e. for 4528,1145 is 1

LCM of denominators i.e. for 253,349 is 88297.

Thus, GCF of Fractions is 1/88297.Finally, GCF of Fractions for 4528/253, 1145/349 is 1/88297.