How to Find GCF of 48/83, 21/15, 10/510?

GCF of 48/83, 21/15, 10/510

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 48/83, 21/15, 10/510 i.e 1/42330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/83, 21/15, 10/510.

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 48/83,21/15,10/510?

Given fractions are 48/83,21/15,10/510

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 48/83,21/15,10/510, numerators are 48,21,10

Denominators are 83,15,510

The GCF of 48,21,10 is 1 .

LCM of 83,15,510 is 42330.

The greatest common factor of 48/83,21/15,10/510 = [GCF of 48,21,10]/[LCM of 83,15,510]= 1/42330

Therefore, the GCF of 48/83,21/15,10/510 is 1/42330.

Greatest Common Factor of 48,21,10

To find the highest common factor of 48,21,10, we have to find the factors of both numbers and list the highest common factor.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 21 are 1, 3, 7, 21

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

The HCF of 48,21,10 is 1.

Lets's calculate GCF of 48,21,10

Greatest Common Factor (GCF) of 48,21,10 By Common Division

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

Greatest Common Factor of 48,21,10 By Matching Biggest Common Factor Method

Now, list down the factors of 48

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 10

1,2,5,10

Greatest Common Factor

We found the factors 48,21,10 . The biggest common factor number is the GCF number.
So the greatest common factor 48,21,10 is 1.

Lets's calculate LCM of 83,15,510

Lowest Common Multiple of 83,15,510 using Common Division

3	83, 15, 510
5	83, 5, 170
	83, 1, 34

∴ So the LCM of the given numbers is 3 x 5 x 83 x 1 x 34 = 42330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42330

Therefore, the GCF of Fractions 48/83,21/15,10/510 is 1/42330

Least Common Multiple of 83,15,510 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 83,15,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,15,510) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(83,15,510) x common factors =1 x 15 = 15

LCM(83,15,510) = ( 83 × 15 × 510 ) / 15

LCM(83,15,510) = 634950 / 15

LCM(83,15,510) = 42330

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 48/83, 21/15, 10/510

1. What is the HCF of 48,21,10?

The HCF of 48,21,10 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 48/83, 21/15, 10/510?

Answer: GCF of Numerators as per given numbers 48/83, 21/15, 10/510 is

GCF of Numerators i.e. for 48,21,10 is 1

LCM of denominators i.e. for 83,15,510 is 42330.

Thus, GCF of Fractions is 1/42330.Finally, GCF of Fractions for 48/83, 21/15, 10/510 is 1/42330.