Greatest Common Factor of 9257/390, 4749/5300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9257/390, 4749/5300

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 9257/390,4749/5300

Given fractions are 9257/390,4749/5300

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 9257,4749

Greatest Common Factor of Numerators i.e. GCF of 9257,4749 is 1 .

LCM of Denominators means LCM of 390,5300 as per the given fractions.

LCM of 390,5300 is 206700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9257,4749

GCF of Fractions 9257/390,4749/5300 is 1/206700

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

Greatest Common Factor of 9257,4749 By Matching Biggest Common Factor Method

Greatest Common Factor of 9257,4749 By Matching Biggest Common Factor Method

Factors of 9257

List of positive integer factors of 9257 that divides 9257 without a remainder.

1,9257

Factors of 4749

List of positive integer factors of 4749 that divides 4749 without a remainder.

1,3,1583,4749

Greatest Common Factor

We found the factors 9257,4749 . The biggest common factor number is the GCF number.
So the greatest common factor 9257,4749 is 1.

Lets's calculate LCM of 390,5300

2 390, 5300
5 195, 2650
39, 530

∴ So the LCM of the given numbers is 2 x 5 x 39 x 530 = 206700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206700

Therefore, the GCF of Fractions 9257/390,4749/5300 is 1/206700

Least Common Multiple of 390,5300 with GCF Formula

Least Common Multiple of 390,5300 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 390,5300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,5300) = 10

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

GCF(390,5300) x common factors =10 x 1 = 10

LCM(390,5300) = ( 390 × 5300 ) / 10

LCM(390,5300) = 2067000 / 10

LCM(390,5300) = 206700


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 9257/390, 4749/5300

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 9257/390, 4749/5300?

Answer: GCF of Numerators as per given numbers 9257/390, 4749/5300 is

GCF of Numerators i.e. for 9257,4749 is 1

LCM of denominators i.e. for 390,5300 is 206700.

Thus, GCF of Fractions is 1/206700.Finally, GCF of Fractions for 9257/390, 4749/5300 is 1/206700.