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GCF of 215/78, 878/514

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 215/78, 878/514 i.e 1/20046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 215/78, 878/514.

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 215/78,878/514?

Given fractions are 215/78,878/514

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 215/78,878/514, numerators are 215,878

Denominators are 78,514

The GCF of 215,878 is 1 .

LCM of 78,514 is 20046.

The greatest common factor of 215/78,878/514 = [GCF of 215,878]/[LCM of 78,514]= 1/20046

Therefore, the GCF of 215/78,878/514 is 1/20046.

Greatest Common Factor of 215,878

To find the highest common factor of 215,878, we have to find the factors of both numbers and list the highest common factor.

The factors of 215 are 1, 5, 43, 215

The factors of 878 are 1, 2, 439, 878

The HCF of 215,878 is 1.

Lets's calculate GCF of 215,878

Greatest Common Factor (GCF) of 215,878 By Common Division

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

Greatest Common Factor of 215,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,878 By Matching Biggest Common Factor Method

Now, list down the factors of 215

:

1,5,43,215

Now, list down the factors of 878

:

1,2,439,878

Greatest Common Factor

We found the factors 215,878 . The biggest common factor number is the GCF number.
So the greatest common factor 215,878 is 1.

Lets's calculate LCM of 78,514

Lowest Common Multiple of 78,514 using Common Division

2 78, 514
39, 257

∴ So the LCM of the given numbers is 2 x 39 x 257 = 20046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20046

Therefore, the GCF of Fractions 215/78,878/514 is 1/20046

Least Common Multiple of 78,514 with GCF Formula

Least Common Multiple of 78,514 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 78,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,514) = 2

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

GCF(78,514) x common factors =2 x 1 = 2

LCM(78,514) = ( 78 × 514 ) / 2

LCM(78,514) = 40092 / 2

LCM(78,514) = 20046


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FAQs on GCF of Fractions of 215/78, 878/514

1. What is the HCF of 215,878?

The HCF of 215,878 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 215/78, 878/514?

Answer: GCF of Numerators as per given numbers 215/78, 878/514 is

GCF of Numerators i.e. for 215,878 is 1

LCM of denominators i.e. for 78,514 is 20046.

Thus, GCF of Fractions is 1/20046.Finally, GCF of Fractions for 215/78, 878/514 is 1/20046.