Greatest Common Factor of 9344/464, 9503/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9344/464, 9503/126

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 9344/464,9503/126

Given fractions are 9344/464,9503/126

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 9344,9503

Greatest Common Factor of Numerators i.e. GCF of 9344,9503 is 1 .

LCM of Denominators means LCM of 464,126 as per the given fractions.

LCM of 464,126 is 29232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9344,9503

GCF of Fractions 9344/464,9503/126 is 1/29232

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

Greatest Common Factor of 9344,9503 By Matching Biggest Common Factor Method

Greatest Common Factor of 9344,9503 By Matching Biggest Common Factor Method

Factors of 9344

List of positive integer factors of 9344 that divides 9344 without a remainder.

1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344

Factors of 9503

List of positive integer factors of 9503 that divides 9503 without a remainder.

1,13,17,43,221,559,731,9503

Greatest Common Factor

We found the factors 9344,9503 . The biggest common factor number is the GCF number.
So the greatest common factor 9344,9503 is 1.

Lets's calculate LCM of 464,126

2 464, 126
232, 63

∴ So the LCM of the given numbers is 2 x 232 x 63 = 29232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29232

Therefore, the GCF of Fractions 9344/464,9503/126 is 1/29232

Least Common Multiple of 464,126 with GCF Formula

Least Common Multiple of 464,126 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 464,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,126) = 2

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

GCF(464,126) x common factors =2 x 1 = 2

LCM(464,126) = ( 464 × 126 ) / 2

LCM(464,126) = 58464 / 2

LCM(464,126) = 29232


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 9344/464, 9503/126

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 9344/464, 9503/126?

Answer: GCF of Numerators as per given numbers 9344/464, 9503/126 is

GCF of Numerators i.e. for 9344,9503 is 1

LCM of denominators i.e. for 464,126 is 29232.

Thus, GCF of Fractions is 1/29232.Finally, GCF of Fractions for 9344/464, 9503/126 is 1/29232.