Greatest Common Factor of 9417/274, 4763/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9417/274, 4763/234

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 9417/274,4763/234

Given fractions are 9417/274,4763/234

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 9417,4763

Greatest Common Factor of Numerators i.e. GCF of 9417,4763 is 1 .

LCM of Denominators means LCM of 274,234 as per the given fractions.

LCM of 274,234 is 32058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9417,4763

GCF of Fractions 9417/274,4763/234 is 1/32058

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

Greatest Common Factor of 9417,4763 By Matching Biggest Common Factor Method

Greatest Common Factor of 9417,4763 By Matching Biggest Common Factor Method

Factors of 9417

List of positive integer factors of 9417 that divides 9417 without a remainder.

1,3,43,73,129,219,3139,9417

Factors of 4763

List of positive integer factors of 4763 that divides 4763 without a remainder.

1,11,433,4763

Greatest Common Factor

We found the factors 9417,4763 . The biggest common factor number is the GCF number.
So the greatest common factor 9417,4763 is 1.

Lets's calculate LCM of 274,234

2 274, 234
137, 117

∴ So the LCM of the given numbers is 2 x 137 x 117 = 32058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32058

Therefore, the GCF of Fractions 9417/274,4763/234 is 1/32058

Least Common Multiple of 274,234 with GCF Formula

Least Common Multiple of 274,234 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 274,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,234) = 2

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

GCF(274,234) x common factors =2 x 1 = 2

LCM(274,234) = ( 274 × 234 ) / 2

LCM(274,234) = 64116 / 2

LCM(274,234) = 32058


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 9417/274, 4763/234

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 9417/274, 4763/234?

Answer: GCF of Numerators as per given numbers 9417/274, 4763/234 is

GCF of Numerators i.e. for 9417,4763 is 1

LCM of denominators i.e. for 274,234 is 32058.

Thus, GCF of Fractions is 1/32058.Finally, GCF of Fractions for 9417/274, 4763/234 is 1/32058.