Greatest Common Factor of 9498/958, 4307/3679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9498/958, 4307/3679

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 9498/958,4307/3679

Given fractions are 9498/958,4307/3679

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 9498,4307

Greatest Common Factor of Numerators i.e. GCF of 9498,4307 is 1 .

LCM of Denominators means LCM of 958,3679 as per the given fractions.

LCM of 958,3679 is 3524482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9498,4307

GCF of Fractions 9498/958,4307/3679 is 1/3524482

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

Greatest Common Factor of 9498,4307 By Matching Biggest Common Factor Method

Greatest Common Factor of 9498,4307 By Matching Biggest Common Factor Method

Factors of 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1,2,3,6,1583,3166,4749,9498

Factors of 4307

List of positive integer factors of 4307 that divides 4307 without a remainder.

1,59,73,4307

Greatest Common Factor

We found the factors 9498,4307 . The biggest common factor number is the GCF number.
So the greatest common factor 9498,4307 is 1.

Lets's calculate LCM of 958,3679

Given numbers has no common factors except 1. So, there LCM is their product i.e 3524482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3524482

Therefore, the GCF of Fractions 9498/958,4307/3679 is 1/3524482

Least Common Multiple of 958,3679 with GCF Formula

Least Common Multiple of 958,3679 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 958,3679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,3679) = 1

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

GCF(958,3679) x common factors =1 x 1 = 1

LCM(958,3679) = ( 958 × 3679 ) / 1

LCM(958,3679) = 3524482 / 1

LCM(958,3679) = 3524482


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 9498/958, 4307/3679

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 9498/958, 4307/3679?

Answer: GCF of Numerators as per given numbers 9498/958, 4307/3679 is

GCF of Numerators i.e. for 9498,4307 is 1

LCM of denominators i.e. for 958,3679 is 3524482.

Thus, GCF of Fractions is 1/3524482.Finally, GCF of Fractions for 9498/958, 4307/3679 is 1/3524482.