Greatest Common Factor of 224/76, 400/9148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 224/76, 400/9148

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 224/76,400/9148

Given fractions are 224/76,400/9148

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 224,400

Greatest Common Factor of Numerators i.e. GCF of 224,400 is 16 .

LCM of Denominators means LCM of 76,9148 as per the given fractions.

LCM of 76,9148 is 173812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 224,400

GCF of Fractions 224/76,400/9148 is 16/173812

2 224, 400
2 112, 200
2 56, 100
2 28, 50
14, 25

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 224,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,400 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 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 224,400 . The biggest common factor number is the GCF number.
So the greatest common factor 224,400 is 16.

Lets's calculate LCM of 76,9148

2 76, 9148
2 38, 4574
19, 2287

∴ So the LCM of the given numbers is 2 x 2 x 19 x 2287 = 173812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/173812

Therefore, the GCF of Fractions 224/76,400/9148 is 16/173812

Least Common Multiple of 76,9148 with GCF Formula

Least Common Multiple of 76,9148 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 76,9148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,9148) = 4

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

GCF(76,9148) x common factors =4 x 1 = 4

LCM(76,9148) = ( 76 × 9148 ) / 4

LCM(76,9148) = 695248 / 4

LCM(76,9148) = 173812


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 224/76, 400/9148

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 224/76, 400/9148?

Answer: GCF of Numerators as per given numbers 224/76, 400/9148 is

GCF of Numerators i.e. for 224,400 is 16

LCM of denominators i.e. for 76,9148 is 173812.

Thus, GCF of Fractions is 16/173812.Finally, GCF of Fractions for 224/76, 400/9148 is 16/173812.