Greatest Common Factor of 224/107, 2484/4869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 224/107, 2484/4869

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 224/107,2484/4869

Given fractions are 224/107,2484/4869

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 224,2484

Greatest Common Factor of Numerators i.e. GCF of 224,2484 is 4 .

LCM of Denominators means LCM of 107,4869 as per the given fractions.

LCM of 107,4869 is 520983 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 224,2484

GCF of Fractions 224/107,2484/4869 is 4/520983

2 224, 2484
2 112, 1242
56, 621

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 224,2484 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,2484 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 2484

List of positive integer factors of 2484 that divides 2484 without a remainder.

1,2,3,4,6,9,12,18,23,27,36,46,54,69,92,108,138,207,276,414,621,828,1242,2484

Greatest Common Factor

We found the factors 224,2484 . The biggest common factor number is the GCF number.
So the greatest common factor 224,2484 is 4.

Lets's calculate LCM of 107,4869

Given numbers has no common factors except 1. So, there LCM is their product i.e 520983

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/520983

Therefore, the GCF of Fractions 224/107,2484/4869 is 4/520983

Least Common Multiple of 107,4869 with GCF Formula

Least Common Multiple of 107,4869 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 107,4869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,4869) = 1

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

GCF(107,4869) x common factors =1 x 1 = 1

LCM(107,4869) = ( 107 × 4869 ) / 1

LCM(107,4869) = 520983 / 1

LCM(107,4869) = 520983


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 224/107, 2484/4869

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 224/107, 2484/4869?

Answer: GCF of Numerators as per given numbers 224/107, 2484/4869 is

GCF of Numerators i.e. for 224,2484 is 4

LCM of denominators i.e. for 107,4869 is 520983.

Thus, GCF of Fractions is 4/520983.Finally, GCF of Fractions for 224/107, 2484/4869 is 4/520983.