Greatest Common Factor of 5423/176, 9425/5232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5423/176, 9425/5232

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 5423/176,9425/5232

Given fractions are 5423/176,9425/5232

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 5423,9425

Greatest Common Factor of Numerators i.e. GCF of 5423,9425 is 29 .

LCM of Denominators means LCM of 176,5232 as per the given fractions.

LCM of 176,5232 is 57552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5423,9425

GCF of Fractions 5423/176,9425/5232 is 29/57552

29 5423, 9425
187, 325

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 5423,9425 By Matching Biggest Common Factor Method

Greatest Common Factor of 5423,9425 By Matching Biggest Common Factor Method

Factors of 5423

List of positive integer factors of 5423 that divides 5423 without a remainder.

1,11,17,29,187,319,493,5423

Factors of 9425

List of positive integer factors of 9425 that divides 9425 without a remainder.

1,5,13,25,29,65,145,325,377,725,1885,9425

Greatest Common Factor

We found the factors 5423,9425 . The biggest common factor number is the GCF number.
So the greatest common factor 5423,9425 is 29.

Lets's calculate LCM of 176,5232

2 176, 5232
2 88, 2616
2 44, 1308
2 22, 654
11, 327

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 327 = 57552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/57552

Therefore, the GCF of Fractions 5423/176,9425/5232 is 29/57552

Least Common Multiple of 176,5232 with GCF Formula

Least Common Multiple of 176,5232 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 176,5232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,5232) = 16

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

GCF(176,5232) x common factors =16 x 1 = 16

LCM(176,5232) = ( 176 × 5232 ) / 16

LCM(176,5232) = 920832 / 16

LCM(176,5232) = 57552


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 5423/176, 9425/5232

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 5423/176, 9425/5232?

Answer: GCF of Numerators as per given numbers 5423/176, 9425/5232 is

GCF of Numerators i.e. for 5423,9425 is 29

LCM of denominators i.e. for 176,5232 is 57552.

Thus, GCF of Fractions is 29/57552.Finally, GCF of Fractions for 5423/176, 9425/5232 is 29/57552.