How to Find GCF of 80/39, 21/880, 124/514?

GCF of 80/39, 21/880, 124/514

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 80/39, 21/880, 124/514 i.e 1/8820240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/39, 21/880, 124/514.

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 80/39,21/880,124/514?

Given fractions are 80/39,21/880,124/514

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 80/39,21/880,124/514, numerators are 80,21,124

Denominators are 39,880,514

The GCF of 80,21,124 is 1 .

LCM of 39,880,514 is 8820240.

The greatest common factor of 80/39,21/880,124/514 = [GCF of 80,21,124]/[LCM of 39,880,514]= 1/8820240

Therefore, the GCF of 80/39,21/880,124/514 is 1/8820240.

Greatest Common Factor of 80,21,124

To find the highest common factor of 80,21,124, we have to find the factors of both numbers and list the highest common factor.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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

The factors of 124 are 1, 2, 4, 31, 62, 124

The HCF of 80,21,124 is 1.

Lets's calculate GCF of 80,21,124

Greatest Common Factor (GCF) of 80,21,124 By Common Division

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

Greatest Common Factor of 80,21,124 By Matching Biggest Common Factor Method

Now, list down the factors of 80

1,2,4,5,8,10,16,20,40,80

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 124

1,2,4,31,62,124

Greatest Common Factor

We found the factors 80,21,124 . The biggest common factor number is the GCF number.
So the greatest common factor 80,21,124 is 1.

Lets's calculate LCM of 39,880,514

Lowest Common Multiple of 39,880,514 using Common Division

2	39, 880, 514
	39, 440, 257

∴ So the LCM of the given numbers is 2 x 39 x 440 x 257 = 8820240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8820240

Therefore, the GCF of Fractions 80/39,21/880,124/514 is 1/8820240

Least Common Multiple of 39,880,514 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 39,880,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,880,514) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(39,880,514) x common factors =1 x 2 = 2

LCM(39,880,514) = ( 39 × 880 × 514 ) / 2

LCM(39,880,514) = 17640480 / 2

LCM(39,880,514) = 8820240

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 80/39, 21/880, 124/514

1. What is the HCF of 80,21,124?

The HCF of 80,21,124 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 80/39, 21/880, 124/514?

Answer: GCF of Numerators as per given numbers 80/39, 21/880, 124/514 is

GCF of Numerators i.e. for 80,21,124 is 1

LCM of denominators i.e. for 39,880,514 is 8820240.

Thus, GCF of Fractions is 1/8820240.Finally, GCF of Fractions for 80/39, 21/880, 124/514 is 1/8820240.