Greatest Common Factor of 388/224, 776/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/224, 776/324

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 388/224,776/324

Given fractions are 388/224,776/324

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 388,776

Greatest Common Factor of Numerators i.e. GCF of 388,776 is 388 .

LCM of Denominators means LCM of 224,324 as per the given fractions.

LCM of 224,324 is 18144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,776

GCF of Fractions 388/224,776/324 is 388/18144

2 388, 776
2 194, 388
97 97, 194
1, 2

∴ So the GCF of the given numbers is 2 x 2 x 97 = 388

Greatest Common Factor of 388,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,776 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 388,776 . The biggest common factor number is the GCF number.
So the greatest common factor 388,776 is 388.

Lets's calculate LCM of 224,324

2 224, 324
2 112, 162
56, 81

∴ So the LCM of the given numbers is 2 x 2 x 56 x 81 = 18144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 388/18144

Therefore, the GCF of Fractions 388/224,776/324 is 388/18144

Least Common Multiple of 224,324 with GCF Formula

Least Common Multiple of 224,324 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 224,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,324) = 4

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

GCF(224,324) x common factors =4 x 1 = 4

LCM(224,324) = ( 224 × 324 ) / 4

LCM(224,324) = 72576 / 4

LCM(224,324) = 18144


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 388/224, 776/324

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 388/224, 776/324?

Answer: GCF of Numerators as per given numbers 388/224, 776/324 is

GCF of Numerators i.e. for 388,776 is 388

LCM of denominators i.e. for 224,324 is 18144.

Thus, GCF of Fractions is 388/18144.Finally, GCF of Fractions for 388/224, 776/324 is 388/18144.