Greatest Common Factor of 561/224, 9666/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/224, 9666/384

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 561/224,9666/384

Given fractions are 561/224,9666/384

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 561,9666

Greatest Common Factor of Numerators i.e. GCF of 561,9666 is 3 .

LCM of Denominators means LCM of 224,384 as per the given fractions.

LCM of 224,384 is 2688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,9666

GCF of Fractions 561/224,9666/384 is 3/2688

3 561, 9666
187, 3222

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 561,9666 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,9666 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 9666

List of positive integer factors of 9666 that divides 9666 without a remainder.

1,2,3,6,9,18,27,54,179,358,537,1074,1611,3222,4833,9666

Greatest Common Factor

We found the factors 561,9666 . The biggest common factor number is the GCF number.
So the greatest common factor 561,9666 is 3.

Lets's calculate LCM of 224,384

2 224, 384
2 112, 192
2 56, 96
2 28, 48
2 14, 24
7, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 12 = 2688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2688

Therefore, the GCF of Fractions 561/224,9666/384 is 3/2688

Least Common Multiple of 224,384 with GCF Formula

Least Common Multiple of 224,384 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 224,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,384) = 32

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

GCF(224,384) x common factors =32 x 1 = 32

LCM(224,384) = ( 224 × 384 ) / 32

LCM(224,384) = 86016 / 32

LCM(224,384) = 2688


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 561/224, 9666/384

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 561/224, 9666/384?

Answer: GCF of Numerators as per given numbers 561/224, 9666/384 is

GCF of Numerators i.e. for 561,9666 is 3

LCM of denominators i.e. for 224,384 is 2688.

Thus, GCF of Fractions is 3/2688.Finally, GCF of Fractions for 561/224, 9666/384 is 3/2688.