How to Find GCF of 115/532, 7635/404?

GCF of 115/532, 7635/404

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 115/532, 7635/404 i.e 5/53732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 115/532, 7635/404.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 115/532,7635/404?

Given fractions are 115/532,7635/404

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 115/532,7635/404, numerators are 115,7635

Denominators are 532,404

The GCF of 115,7635 is 5 .

LCM of 532,404 is 53732.

The greatest common factor of 115/532,7635/404 = [GCF of 115,7635]/[LCM of 532,404]= 5/53732

Therefore, the GCF of 115/532,7635/404 is 5/53732.

Greatest Common Factor of 115,7635

To find the highest common factor of 115,7635, we have to find the factors of both numbers and list the highest common factor.

The factors of 115 are 1, 5, 23, 115

The factors of 7635 are 1, 3, 5, 15, 509, 1527, 2545, 7635

The HCF of 115,7635 is 5.

Lets's calculate GCF of 115,7635

Greatest Common Factor (GCF) of 115,7635 By Common Division

5	115, 7635
	23, 1527

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 115,7635 By Matching Biggest Common Factor Method

Now, list down the factors of 115

1,5,23,115

Now, list down the factors of 7635

1,3,5,15,509,1527,2545,7635

Greatest Common Factor

We found the factors 115,7635 . The biggest common factor number is the GCF number.
So the greatest common factor 115,7635 is 5.

Lets's calculate LCM of 532,404

Lowest Common Multiple of 532,404 using Common Division

2	532, 404
2	266, 202
	133, 101

∴ So the LCM of the given numbers is 2 x 2 x 133 x 101 = 53732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/53732

Therefore, the GCF of Fractions 115/532,7635/404 is 5/53732

Least Common Multiple of 532,404 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 532,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,404) = 4

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

GCF(532,404) x common factors =4 x 1 = 4

LCM(532,404) = ( 532 × 404 ) / 4

LCM(532,404) = 214928 / 4

LCM(532,404) = 53732

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 115/532, 7635/404

1. What is the HCF of 115,7635?

The HCF of 115,7635 is 5

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 115/532, 7635/404?

Answer: GCF of Numerators as per given numbers 115/532, 7635/404 is

GCF of Numerators i.e. for 115,7635 is 5

LCM of denominators i.e. for 532,404 is 53732.

Thus, GCF of Fractions is 5/53732.Finally, GCF of Fractions for 115/532, 7635/404 is 5/53732.