How to Find GCF of 8094/231, 5462/464?

GCF of 8094/231, 5462/464

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 8094/231, 5462/464 i.e 2/107184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8094/231, 5462/464.

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 8094/231,5462/464?

Given fractions are 8094/231,5462/464

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 8094/231,5462/464, numerators are 8094,5462

Denominators are 231,464

The GCF of 8094,5462 is 2 .

LCM of 231,464 is 107184.

The greatest common factor of 8094/231,5462/464 = [GCF of 8094,5462]/[LCM of 231,464]= 2/107184

Therefore, the GCF of 8094/231,5462/464 is 2/107184.

Greatest Common Factor of 8094,5462

To find the highest common factor of 8094,5462, we have to find the factors of both numbers and list the highest common factor.

The factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094

The factors of 5462 are 1, 2, 2731, 5462

The HCF of 8094,5462 is 2.

Lets's calculate GCF of 8094,5462

Greatest Common Factor (GCF) of 8094,5462 By Common Division

2	8094, 5462
	4047, 2731

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8094,5462 By Matching Biggest Common Factor Method

Now, list down the factors of 8094

1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094

Now, list down the factors of 5462

1,2,2731,5462

Greatest Common Factor

We found the factors 8094,5462 . The biggest common factor number is the GCF number.
So the greatest common factor 8094,5462 is 2.

Lets's calculate LCM of 231,464

Lowest Common Multiple of 231,464 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 107184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/107184

Therefore, the GCF of Fractions 8094/231,5462/464 is 2/107184

Least Common Multiple of 231,464 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 231,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,464) = 1

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

GCF(231,464) x common factors =1 x 1 = 1

LCM(231,464) = ( 231 × 464 ) / 1

LCM(231,464) = 107184 / 1

LCM(231,464) = 107184

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FAQs on GCF of Fractions of 8094/231, 5462/464

1. What is the HCF of 8094,5462?

The HCF of 8094,5462 is 2

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 8094/231, 5462/464?

Answer: GCF of Numerators as per given numbers 8094/231, 5462/464 is

GCF of Numerators i.e. for 8094,5462 is 2

LCM of denominators i.e. for 231,464 is 107184.

Thus, GCF of Fractions is 2/107184.Finally, GCF of Fractions for 8094/231, 5462/464 is 2/107184.