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GCF of 20/24, 824/65, 373/130

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 20/24, 824/65, 373/130 i.e 1/1560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/24, 824/65, 373/130.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 20/24,824/65,373/130?

Given fractions are 20/24,824/65,373/130

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 20/24,824/65,373/130, numerators are 20,824,373

Denominators are 24,65,130

The GCF of 20,824,373 is 1 .

LCM of 24,65,130 is 1560.

The greatest common factor of 20/24,824/65,373/130 = [GCF of 20,824,373]/[LCM of 24,65,130]= 1/1560

Therefore, the GCF of 20/24,824/65,373/130 is 1/1560.

Greatest Common Factor of 20,824,373

To find the highest common factor of 20,824,373, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824

The factors of 373 are 1, 373

The HCF of 20,824,373 is 1.

Lets's calculate GCF of 20,824,373

Greatest Common Factor (GCF) of 20,824,373 By Common Division

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

Greatest Common Factor of 20,824,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,824,373 By Matching Biggest Common Factor Method

Now, list down the factors of 20

:

1,2,4,5,10,20

Now, list down the factors of 824

:

1,2,4,8,103,206,412,824

Now, list down the factors of 373

:

1,373

Greatest Common Factor

We found the factors 20,824,373 . The biggest common factor number is the GCF number.
So the greatest common factor 20,824,373 is 1.


Lets's calculate LCM of 24,65,130

Lowest Common Multiple of 24,65,130 using Common Division

2 24, 65, 130
5 12, 65, 65
13 12, 13, 13
12, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 13 x 12 x 1 x 1 = 1560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1560

Therefore, the GCF of Fractions 20/24,824/65,373/130 is 1/1560

Least Common Multiple of 24,65,130 with GCF Formula

Least Common Multiple of 24,65,130 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 24,65,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,65,130) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(24,65,130) x common factors =1 x 130 = 130

LCM(24,65,130) = ( 24 × 65 × 130 ) / 130

LCM(24,65,130) = 202800 / 130

LCM(24,65,130) = 1560


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 20/24, 824/65, 373/130

1. What is the HCF of 20,824,373?

The HCF of 20,824,373 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 20/24, 824/65, 373/130?

Answer: GCF of Numerators as per given numbers 20/24, 824/65, 373/130 is

GCF of Numerators i.e. for 20,824,373 is 1

LCM of denominators i.e. for 24,65,130 is 1560.

Thus, GCF of Fractions is 1/1560.Finally, GCF of Fractions for 20/24, 824/65, 373/130 is 1/1560.