How to Find GCF of 24/42, 20/15, 297/520?

GCF of 24/42, 20/15, 297/520

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 24/42, 20/15, 297/520 i.e 1/10920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/42, 20/15, 297/520.

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 24/42,20/15,297/520?

Given fractions are 24/42,20/15,297/520

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 24/42,20/15,297/520, numerators are 24,20,297

Denominators are 42,15,520

The GCF of 24,20,297 is 1 .

LCM of 42,15,520 is 10920.

The greatest common factor of 24/42,20/15,297/520 = [GCF of 24,20,297]/[LCM of 42,15,520]= 1/10920

Therefore, the GCF of 24/42,20/15,297/520 is 1/10920.

Greatest Common Factor of 24,20,297

To find the highest common factor of 24,20,297, we have to find the factors of both numbers and list the highest common factor.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297

The HCF of 24,20,297 is 1.

Lets's calculate GCF of 24,20,297

Greatest Common Factor (GCF) of 24,20,297 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 24,20,297 By Matching Biggest Common Factor Method

Now, list down the factors of 24

1,2,3,4,6,8,12,24

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 297

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 24,20,297 . The biggest common factor number is the GCF number.
So the greatest common factor 24,20,297 is 1.

Lets's calculate LCM of 42,15,520

Lowest Common Multiple of 42,15,520 using Common Division

2	42, 15, 520
3	21, 15, 260
5	7, 5, 260
	7, 1, 52

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 52 = 10920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10920

Therefore, the GCF of Fractions 24/42,20/15,297/520 is 1/10920

Least Common Multiple of 42,15,520 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 42,15,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,15,520) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(42,15,520) x common factors =1 x 30 = 30

LCM(42,15,520) = ( 42 × 15 × 520 ) / 30

LCM(42,15,520) = 327600 / 30

LCM(42,15,520) = 10920

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 24/42, 20/15, 297/520

1. What is the HCF of 24,20,297?

The HCF of 24,20,297 is 1

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 24/42, 20/15, 297/520?

Answer: GCF of Numerators as per given numbers 24/42, 20/15, 297/520 is

GCF of Numerators i.e. for 24,20,297 is 1

LCM of denominators i.e. for 42,15,520 is 10920.

Thus, GCF of Fractions is 1/10920.Finally, GCF of Fractions for 24/42, 20/15, 297/520 is 1/10920.