Greatest Common Factor of 64/808, 6784/4328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/808, 6784/4328

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 64/808,6784/4328

Given fractions are 64/808,6784/4328

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 64,6784

Greatest Common Factor of Numerators i.e. GCF of 64,6784 is 64 .

LCM of Denominators means LCM of 808,4328 as per the given fractions.

LCM of 808,4328 is 437128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,6784

GCF of Fractions 64/808,6784/4328 is 64/437128

2 64, 6784
2 32, 3392
2 16, 1696
2 8, 848
2 4, 424
2 2, 212
1, 106

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Greatest Common Factor of 64,6784 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,6784 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 6784

List of positive integer factors of 6784 that divides 6784 without a remainder.

1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784

Greatest Common Factor

We found the factors 64,6784 . The biggest common factor number is the GCF number.
So the greatest common factor 64,6784 is 64.

Lets's calculate LCM of 808,4328

2 808, 4328
2 404, 2164
2 202, 1082
101, 541

∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 541 = 437128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/437128

Therefore, the GCF of Fractions 64/808,6784/4328 is 64/437128

Least Common Multiple of 808,4328 with GCF Formula

Least Common Multiple of 808,4328 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 808,4328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,4328) = 8

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

GCF(808,4328) x common factors =8 x 1 = 8

LCM(808,4328) = ( 808 × 4328 ) / 8

LCM(808,4328) = 3497024 / 8

LCM(808,4328) = 437128


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 64/808, 6784/4328

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 64/808, 6784/4328?

Answer: GCF of Numerators as per given numbers 64/808, 6784/4328 is

GCF of Numerators i.e. for 64,6784 is 64

LCM of denominators i.e. for 808,4328 is 437128.

Thus, GCF of Fractions is 64/437128.Finally, GCF of Fractions for 64/808, 6784/4328 is 64/437128.