Greatest Common Factor of 7332/918, 2312/4246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7332/918, 2312/4246

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 7332/918,2312/4246

Given fractions are 7332/918,2312/4246

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 7332,2312

Greatest Common Factor of Numerators i.e. GCF of 7332,2312 is 4 .

LCM of Denominators means LCM of 918,4246 as per the given fractions.

LCM of 918,4246 is 1948914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7332,2312

GCF of Fractions 7332/918,2312/4246 is 4/1948914

2 7332, 2312
2 3666, 1156
1833, 578

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7332,2312 By Matching Biggest Common Factor Method

Greatest Common Factor of 7332,2312 By Matching Biggest Common Factor Method

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332

Factors of 2312

List of positive integer factors of 2312 that divides 2312 without a remainder.

1,2,4,8,17,34,68,136,289,578,1156,2312

Greatest Common Factor

We found the factors 7332,2312 . The biggest common factor number is the GCF number.
So the greatest common factor 7332,2312 is 4.

Lets's calculate LCM of 918,4246

2 918, 4246
459, 2123

∴ So the LCM of the given numbers is 2 x 459 x 2123 = 1948914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1948914

Therefore, the GCF of Fractions 7332/918,2312/4246 is 4/1948914

Least Common Multiple of 918,4246 with GCF Formula

Least Common Multiple of 918,4246 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 918,4246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,4246) = 2

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

GCF(918,4246) x common factors =2 x 1 = 2

LCM(918,4246) = ( 918 × 4246 ) / 2

LCM(918,4246) = 3897828 / 2

LCM(918,4246) = 1948914


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 7332/918, 2312/4246

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 7332/918, 2312/4246?

Answer: GCF of Numerators as per given numbers 7332/918, 2312/4246 is

GCF of Numerators i.e. for 7332,2312 is 4

LCM of denominators i.e. for 918,4246 is 1948914.

Thus, GCF of Fractions is 4/1948914.Finally, GCF of Fractions for 7332/918, 2312/4246 is 4/1948914.