How to Find GCF of 8718/820, 5323/7054?

GCF of 8718/820, 5323/7054

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 8718/820, 5323/7054 i.e 1/2892140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8718/820, 5323/7054.

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 8718/820,5323/7054?

Given fractions are 8718/820,5323/7054

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 8718/820,5323/7054, numerators are 8718,5323

Denominators are 820,7054

The GCF of 8718,5323 is 1 .

LCM of 820,7054 is 2892140.

The greatest common factor of 8718/820,5323/7054 = [GCF of 8718,5323]/[LCM of 820,7054]= 1/2892140

Therefore, the GCF of 8718/820,5323/7054 is 1/2892140.

Greatest Common Factor of 8718,5323

To find the highest common factor of 8718,5323, we have to find the factors of both numbers and list the highest common factor.

The factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718

The factors of 5323 are 1, 5323

The HCF of 8718,5323 is 1.

Lets's calculate GCF of 8718,5323

Greatest Common Factor (GCF) of 8718,5323 By Common Division

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

Greatest Common Factor of 8718,5323 By Matching Biggest Common Factor Method

Now, list down the factors of 8718

1,2,3,6,1453,2906,4359,8718

Now, list down the factors of 5323

1,5323

Greatest Common Factor

We found the factors 8718,5323 . The biggest common factor number is the GCF number.
So the greatest common factor 8718,5323 is 1.

Lets's calculate LCM of 820,7054

Lowest Common Multiple of 820,7054 using Common Division

2	820, 7054
	410, 3527

∴ So the LCM of the given numbers is 2 x 410 x 3527 = 2892140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2892140

Therefore, the GCF of Fractions 8718/820,5323/7054 is 1/2892140

Least Common Multiple of 820,7054 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 820,7054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,7054) = 2

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

GCF(820,7054) x common factors =2 x 1 = 2

LCM(820,7054) = ( 820 × 7054 ) / 2

LCM(820,7054) = 5784280 / 2

LCM(820,7054) = 2892140

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FAQs on GCF of Fractions of 8718/820, 5323/7054

1. What is the HCF of 8718,5323?

The HCF of 8718,5323 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 8718/820, 5323/7054?

Answer: GCF of Numerators as per given numbers 8718/820, 5323/7054 is

GCF of Numerators i.e. for 8718,5323 is 1

LCM of denominators i.e. for 820,7054 is 2892140.

Thus, GCF of Fractions is 1/2892140.Finally, GCF of Fractions for 8718/820, 5323/7054 is 1/2892140.