Greatest Common Factor of 96/336, 2368/3836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/336, 2368/3836

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 96/336,2368/3836

Given fractions are 96/336,2368/3836

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 96,2368

Greatest Common Factor of Numerators i.e. GCF of 96,2368 is 32 .

LCM of Denominators means LCM of 336,3836 as per the given fractions.

LCM of 336,3836 is 46032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,2368

GCF of Fractions 96/336,2368/3836 is 32/46032

2 96, 2368
2 48, 1184
2 24, 592
2 12, 296
2 6, 148
3, 74

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 96,2368 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,2368 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 2368

List of positive integer factors of 2368 that divides 2368 without a remainder.

1,2,4,8,16,32,37,64,74,148,296,592,1184,2368

Greatest Common Factor

We found the factors 96,2368 . The biggest common factor number is the GCF number.
So the greatest common factor 96,2368 is 32.

Lets's calculate LCM of 336,3836

2 336, 3836
2 168, 1918
7 84, 959
12, 137

∴ So the LCM of the given numbers is 2 x 2 x 7 x 12 x 137 = 46032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/46032

Therefore, the GCF of Fractions 96/336,2368/3836 is 32/46032

Least Common Multiple of 336,3836 with GCF Formula

Least Common Multiple of 336,3836 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 336,3836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,3836) = 28

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

GCF(336,3836) x common factors =28 x 1 = 28

LCM(336,3836) = ( 336 × 3836 ) / 28

LCM(336,3836) = 1288896 / 28

LCM(336,3836) = 46032


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 96/336, 2368/3836

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 96/336, 2368/3836?

Answer: GCF of Numerators as per given numbers 96/336, 2368/3836 is

GCF of Numerators i.e. for 96,2368 is 32

LCM of denominators i.e. for 336,3836 is 46032.

Thus, GCF of Fractions is 32/46032.Finally, GCF of Fractions for 96/336, 2368/3836 is 32/46032.