How to Find GCF of 3282/251, 8623/5756?

GCF of 3282/251, 8623/5756

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 3282/251, 8623/5756 i.e 1/1444756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3282/251, 8623/5756.

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 3282/251,8623/5756?

Given fractions are 3282/251,8623/5756

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 3282/251,8623/5756, numerators are 3282,8623

Denominators are 251,5756

The GCF of 3282,8623 is 1 .

LCM of 251,5756 is 1444756.

The greatest common factor of 3282/251,8623/5756 = [GCF of 3282,8623]/[LCM of 251,5756]= 1/1444756

Therefore, the GCF of 3282/251,8623/5756 is 1/1444756.

Greatest Common Factor of 3282,8623

To find the highest common factor of 3282,8623, we have to find the factors of both numbers and list the highest common factor.

The factors of 3282 are 1, 2, 3, 6, 547, 1094, 1641, 3282

The factors of 8623 are 1, 8623

The HCF of 3282,8623 is 1.

Lets's calculate GCF of 3282,8623

Greatest Common Factor (GCF) of 3282,8623 By Common Division

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

Greatest Common Factor of 3282,8623 By Matching Biggest Common Factor Method

Now, list down the factors of 3282

1,2,3,6,547,1094,1641,3282

Now, list down the factors of 8623

1,8623

Greatest Common Factor

We found the factors 3282,8623 . The biggest common factor number is the GCF number.
So the greatest common factor 3282,8623 is 1.

Lets's calculate LCM of 251,5756

Lowest Common Multiple of 251,5756 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1444756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1444756

Therefore, the GCF of Fractions 3282/251,8623/5756 is 1/1444756

Least Common Multiple of 251,5756 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 251,5756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,5756) = 1

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

GCF(251,5756) x common factors =1 x 1 = 1

LCM(251,5756) = ( 251 × 5756 ) / 1

LCM(251,5756) = 1444756 / 1

LCM(251,5756) = 1444756

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FAQs on GCF of Fractions of 3282/251, 8623/5756

1. What is the HCF of 3282,8623?

The HCF of 3282,8623 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 3282/251, 8623/5756?

Answer: GCF of Numerators as per given numbers 3282/251, 8623/5756 is

GCF of Numerators i.e. for 3282,8623 is 1

LCM of denominators i.e. for 251,5756 is 1444756.

Thus, GCF of Fractions is 1/1444756.Finally, GCF of Fractions for 3282/251, 8623/5756 is 1/1444756.