How to Find GCF of 8154/425, 6414/638?

GCF of 8154/425, 6414/638

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 8154/425, 6414/638 i.e 6/271150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8154/425, 6414/638.

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 8154/425,6414/638?

Given fractions are 8154/425,6414/638

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 8154/425,6414/638, numerators are 8154,6414

Denominators are 425,638

The GCF of 8154,6414 is 6 .

LCM of 425,638 is 271150.

The greatest common factor of 8154/425,6414/638 = [GCF of 8154,6414]/[LCM of 425,638]= 6/271150

Therefore, the GCF of 8154/425,6414/638 is 6/271150.

Greatest Common Factor of 8154,6414

To find the highest common factor of 8154,6414, we have to find the factors of both numbers and list the highest common factor.

The factors of 8154 are 1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154

The factors of 6414 are 1, 2, 3, 6, 1069, 2138, 3207, 6414

The HCF of 8154,6414 is 6.

Lets's calculate GCF of 8154,6414

Greatest Common Factor (GCF) of 8154,6414 By Common Division

2	8154, 6414
3	4077, 3207
	1359, 1069

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8154,6414 By Matching Biggest Common Factor Method

Now, list down the factors of 8154

1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154

Now, list down the factors of 6414

1,2,3,6,1069,2138,3207,6414

Greatest Common Factor

We found the factors 8154,6414 . The biggest common factor number is the GCF number.
So the greatest common factor 8154,6414 is 6.

Lets's calculate LCM of 425,638

Lowest Common Multiple of 425,638 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 271150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/271150

Therefore, the GCF of Fractions 8154/425,6414/638 is 6/271150

Least Common Multiple of 425,638 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 425,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,638) = 1

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

GCF(425,638) x common factors =1 x 1 = 1

LCM(425,638) = ( 425 × 638 ) / 1

LCM(425,638) = 271150 / 1

LCM(425,638) = 271150

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FAQs on GCF of Fractions of 8154/425, 6414/638

1. What is the HCF of 8154,6414?

The HCF of 8154,6414 is 6

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 8154/425, 6414/638?

Answer: GCF of Numerators as per given numbers 8154/425, 6414/638 is

GCF of Numerators i.e. for 8154,6414 is 6

LCM of denominators i.e. for 425,638 is 271150.

Thus, GCF of Fractions is 6/271150.Finally, GCF of Fractions for 8154/425, 6414/638 is 6/271150.