Greatest Common Factor of 9224/312, 1258/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9224/312, 1258/151

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 9224/312,1258/151

Given fractions are 9224/312,1258/151

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 9224,1258

Greatest Common Factor of Numerators i.e. GCF of 9224,1258 is 2 .

LCM of Denominators means LCM of 312,151 as per the given fractions.

LCM of 312,151 is 47112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9224,1258

GCF of Fractions 9224/312,1258/151 is 2/47112

2 9224, 1258
4612, 629

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9224,1258 By Matching Biggest Common Factor Method

Greatest Common Factor of 9224,1258 By Matching Biggest Common Factor Method

Factors of 9224

List of positive integer factors of 9224 that divides 9224 without a remainder.

1,2,4,8,1153,2306,4612,9224

Factors of 1258

List of positive integer factors of 1258 that divides 1258 without a remainder.

1,2,17,34,37,74,629,1258

Greatest Common Factor

We found the factors 9224,1258 . The biggest common factor number is the GCF number.
So the greatest common factor 9224,1258 is 2.

Lets's calculate LCM of 312,151

Given numbers has no common factors except 1. So, there LCM is their product i.e 47112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47112

Therefore, the GCF of Fractions 9224/312,1258/151 is 2/47112

Least Common Multiple of 312,151 with GCF Formula

Least Common Multiple of 312,151 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 312,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,151) = 1

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

GCF(312,151) x common factors =1 x 1 = 1

LCM(312,151) = ( 312 × 151 ) / 1

LCM(312,151) = 47112 / 1

LCM(312,151) = 47112


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 9224/312, 1258/151

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 9224/312, 1258/151?

Answer: GCF of Numerators as per given numbers 9224/312, 1258/151 is

GCF of Numerators i.e. for 9224,1258 is 2

LCM of denominators i.e. for 312,151 is 47112.

Thus, GCF of Fractions is 2/47112.Finally, GCF of Fractions for 9224/312, 1258/151 is 2/47112.