How to Find GCF of 8493/331, 5981/8605?

GCF of 8493/331, 5981/8605

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 8493/331, 5981/8605 i.e 1/2848255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8493/331, 5981/8605.

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 8493/331,5981/8605?

Given fractions are 8493/331,5981/8605

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 8493/331,5981/8605, numerators are 8493,5981

Denominators are 331,8605

The GCF of 8493,5981 is 1 .

LCM of 331,8605 is 2848255.

The greatest common factor of 8493/331,5981/8605 = [GCF of 8493,5981]/[LCM of 331,8605]= 1/2848255

Therefore, the GCF of 8493/331,5981/8605 is 1/2848255.

Greatest Common Factor of 8493,5981

To find the highest common factor of 8493,5981, we have to find the factors of both numbers and list the highest common factor.

The factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493

The factors of 5981 are 1, 5981

The HCF of 8493,5981 is 1.

Lets's calculate GCF of 8493,5981

Greatest Common Factor (GCF) of 8493,5981 By Common Division

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

Greatest Common Factor of 8493,5981 By Matching Biggest Common Factor Method

Now, list down the factors of 8493

1,3,19,57,149,447,2831,8493

Now, list down the factors of 5981

1,5981

Greatest Common Factor

We found the factors 8493,5981 . The biggest common factor number is the GCF number.
So the greatest common factor 8493,5981 is 1.

Lets's calculate LCM of 331,8605

Lowest Common Multiple of 331,8605 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2848255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2848255

Therefore, the GCF of Fractions 8493/331,5981/8605 is 1/2848255

Least Common Multiple of 331,8605 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 331,8605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,8605) = 1

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

GCF(331,8605) x common factors =1 x 1 = 1

LCM(331,8605) = ( 331 × 8605 ) / 1

LCM(331,8605) = 2848255 / 1

LCM(331,8605) = 2848255

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FAQs on GCF of Fractions of 8493/331, 5981/8605

1. What is the HCF of 8493,5981?

The HCF of 8493,5981 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 8493/331, 5981/8605?

Answer: GCF of Numerators as per given numbers 8493/331, 5981/8605 is

GCF of Numerators i.e. for 8493,5981 is 1

LCM of denominators i.e. for 331,8605 is 2848255.

Thus, GCF of Fractions is 1/2848255.Finally, GCF of Fractions for 8493/331, 5981/8605 is 1/2848255.