How to Find GCF of 7466/281, 8637/3330?

GCF of 7466/281, 8637/3330

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 7466/281, 8637/3330 i.e 1/935730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7466/281, 8637/3330.

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 7466/281,8637/3330?

Given fractions are 7466/281,8637/3330

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 7466/281,8637/3330, numerators are 7466,8637

Denominators are 281,3330

The GCF of 7466,8637 is 1 .

LCM of 281,3330 is 935730.

The greatest common factor of 7466/281,8637/3330 = [GCF of 7466,8637]/[LCM of 281,3330]= 1/935730

Therefore, the GCF of 7466/281,8637/3330 is 1/935730.

Greatest Common Factor of 7466,8637

To find the highest common factor of 7466,8637, we have to find the factors of both numbers and list the highest common factor.

The factors of 7466 are 1, 2, 3733, 7466

The factors of 8637 are 1, 3, 2879, 8637

The HCF of 7466,8637 is 1.

Lets's calculate GCF of 7466,8637

Greatest Common Factor (GCF) of 7466,8637 By Common Division

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

Greatest Common Factor of 7466,8637 By Matching Biggest Common Factor Method

Now, list down the factors of 7466

1,2,3733,7466

Now, list down the factors of 8637

1,3,2879,8637

Greatest Common Factor

We found the factors 7466,8637 . The biggest common factor number is the GCF number.
So the greatest common factor 7466,8637 is 1.

Lets's calculate LCM of 281,3330

Lowest Common Multiple of 281,3330 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 935730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/935730

Therefore, the GCF of Fractions 7466/281,8637/3330 is 1/935730

Least Common Multiple of 281,3330 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 281,3330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,3330) = 1

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

GCF(281,3330) x common factors =1 x 1 = 1

LCM(281,3330) = ( 281 × 3330 ) / 1

LCM(281,3330) = 935730 / 1

LCM(281,3330) = 935730

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FAQs on GCF of Fractions of 7466/281, 8637/3330

1. What is the HCF of 7466,8637?

The HCF of 7466,8637 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 7466/281, 8637/3330?

Answer: GCF of Numerators as per given numbers 7466/281, 8637/3330 is

GCF of Numerators i.e. for 7466,8637 is 1

LCM of denominators i.e. for 281,3330 is 935730.

Thus, GCF of Fractions is 1/935730.Finally, GCF of Fractions for 7466/281, 8637/3330 is 1/935730.