Greatest Common Factor of 7403/216, 3212/3784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7403/216, 3212/3784

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 7403/216,3212/3784

Given fractions are 7403/216,3212/3784

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 7403,3212

Greatest Common Factor of Numerators i.e. GCF of 7403,3212 is 11 .

LCM of Denominators means LCM of 216,3784 as per the given fractions.

LCM of 216,3784 is 102168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7403,3212

GCF of Fractions 7403/216,3212/3784 is 11/102168

11 7403, 3212
673, 292

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7403,3212 By Matching Biggest Common Factor Method

Greatest Common Factor of 7403,3212 By Matching Biggest Common Factor Method

Factors of 7403

List of positive integer factors of 7403 that divides 7403 without a remainder.

1,11,673,7403

Factors of 3212

List of positive integer factors of 3212 that divides 3212 without a remainder.

1,2,4,11,22,44,73,146,292,803,1606,3212

Greatest Common Factor

We found the factors 7403,3212 . The biggest common factor number is the GCF number.
So the greatest common factor 7403,3212 is 11.

Lets's calculate LCM of 216,3784

2 216, 3784
2 108, 1892
2 54, 946
27, 473

∴ So the LCM of the given numbers is 2 x 2 x 2 x 27 x 473 = 102168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/102168

Therefore, the GCF of Fractions 7403/216,3212/3784 is 11/102168

Least Common Multiple of 216,3784 with GCF Formula

Least Common Multiple of 216,3784 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 216,3784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,3784) = 8

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

GCF(216,3784) x common factors =8 x 1 = 8

LCM(216,3784) = ( 216 × 3784 ) / 8

LCM(216,3784) = 817344 / 8

LCM(216,3784) = 102168


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 7403/216, 3212/3784

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 7403/216, 3212/3784?

Answer: GCF of Numerators as per given numbers 7403/216, 3212/3784 is

GCF of Numerators i.e. for 7403,3212 is 11

LCM of denominators i.e. for 216,3784 is 102168.

Thus, GCF of Fractions is 11/102168.Finally, GCF of Fractions for 7403/216, 3212/3784 is 11/102168.