Greatest Common Factor of 7312/929, 9450/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7312/929, 9450/460

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 7312/929,9450/460

Given fractions are 7312/929,9450/460

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 7312,9450

Greatest Common Factor of Numerators i.e. GCF of 7312,9450 is 2 .

LCM of Denominators means LCM of 929,460 as per the given fractions.

LCM of 929,460 is 427340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7312,9450

GCF of Fractions 7312/929,9450/460 is 2/427340

2 7312, 9450
3656, 4725

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

Greatest Common Factor of 7312,9450 By Matching Biggest Common Factor Method

Greatest Common Factor of 7312,9450 By Matching Biggest Common Factor Method

Factors of 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1,2,4,8,16,457,914,1828,3656,7312

Factors of 9450

List of positive integer factors of 9450 that divides 9450 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450

Greatest Common Factor

We found the factors 7312,9450 . The biggest common factor number is the GCF number.
So the greatest common factor 7312,9450 is 2.

Lets's calculate LCM of 929,460

Given numbers has no common factors except 1. So, there LCM is their product i.e 427340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/427340

Therefore, the GCF of Fractions 7312/929,9450/460 is 2/427340

Least Common Multiple of 929,460 with GCF Formula

Least Common Multiple of 929,460 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 929,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,460) = 1

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

GCF(929,460) x common factors =1 x 1 = 1

LCM(929,460) = ( 929 × 460 ) / 1

LCM(929,460) = 427340 / 1

LCM(929,460) = 427340


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 7312/929, 9450/460

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 7312/929, 9450/460?

Answer: GCF of Numerators as per given numbers 7312/929, 9450/460 is

GCF of Numerators i.e. for 7312,9450 is 2

LCM of denominators i.e. for 929,460 is 427340.

Thus, GCF of Fractions is 2/427340.Finally, GCF of Fractions for 7312/929, 9450/460 is 2/427340.