Greatest Common Factor of 437/896, 8533/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 437/896, 8533/224

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 437/896,8533/224

Given fractions are 437/896,8533/224

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 437,8533

Greatest Common Factor of Numerators i.e. GCF of 437,8533 is 23 .

LCM of Denominators means LCM of 896,224 as per the given fractions.

LCM of 896,224 is 896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 437,8533

GCF of Fractions 437/896,8533/224 is 23/896

23 437, 8533
19, 371

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 437,8533 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,8533 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 8533

List of positive integer factors of 8533 that divides 8533 without a remainder.

1,7,23,53,161,371,1219,8533

Greatest Common Factor

We found the factors 437,8533 . The biggest common factor number is the GCF number.
So the greatest common factor 437,8533 is 23.

Lets's calculate LCM of 896,224

2 896, 224
2 448, 112
2 224, 56
2 112, 28
2 56, 14
7 28, 7
4, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 4 x 1 = 896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/896

Therefore, the GCF of Fractions 437/896,8533/224 is 23/896

Least Common Multiple of 896,224 with GCF Formula

Least Common Multiple of 896,224 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 896,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,224) = 224

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

GCF(896,224) x common factors =224 x 1 = 224

LCM(896,224) = ( 896 × 224 ) / 224

LCM(896,224) = 200704 / 224

LCM(896,224) = 896


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 437/896, 8533/224

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 437/896, 8533/224?

Answer: GCF of Numerators as per given numbers 437/896, 8533/224 is

GCF of Numerators i.e. for 437,8533 is 23

LCM of denominators i.e. for 896,224 is 896.

Thus, GCF of Fractions is 23/896.Finally, GCF of Fractions for 437/896, 8533/224 is 23/896.