How to Find GCF of 6807/292, 3986/3552?

GCF of 6807/292, 3986/3552

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 6807/292, 3986/3552 i.e 1/259296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6807/292, 3986/3552.

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 6807/292,3986/3552?

Given fractions are 6807/292,3986/3552

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 6807/292,3986/3552, numerators are 6807,3986

Denominators are 292,3552

The GCF of 6807,3986 is 1 .

LCM of 292,3552 is 259296.

The greatest common factor of 6807/292,3986/3552 = [GCF of 6807,3986]/[LCM of 292,3552]= 1/259296

Therefore, the GCF of 6807/292,3986/3552 is 1/259296.

Greatest Common Factor of 6807,3986

To find the highest common factor of 6807,3986, we have to find the factors of both numbers and list the highest common factor.

The factors of 6807 are 1, 3, 2269, 6807

The factors of 3986 are 1, 2, 1993, 3986

The HCF of 6807,3986 is 1.

Lets's calculate GCF of 6807,3986

Greatest Common Factor (GCF) of 6807,3986 By Common Division

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

Greatest Common Factor of 6807,3986 By Matching Biggest Common Factor Method

Now, list down the factors of 6807

1,3,2269,6807

Now, list down the factors of 3986

1,2,1993,3986

Greatest Common Factor

We found the factors 6807,3986 . The biggest common factor number is the GCF number.
So the greatest common factor 6807,3986 is 1.

Lets's calculate LCM of 292,3552

Lowest Common Multiple of 292,3552 using Common Division

2	292, 3552
2	146, 1776
	73, 888

∴ So the LCM of the given numbers is 2 x 2 x 73 x 888 = 259296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259296

Therefore, the GCF of Fractions 6807/292,3986/3552 is 1/259296

Least Common Multiple of 292,3552 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 292,3552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,3552) = 4

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

GCF(292,3552) x common factors =4 x 1 = 4

LCM(292,3552) = ( 292 × 3552 ) / 4

LCM(292,3552) = 1037184 / 4

LCM(292,3552) = 259296

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FAQs on GCF of Fractions of 6807/292, 3986/3552

1. What is the HCF of 6807,3986?

The HCF of 6807,3986 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 6807/292, 3986/3552?

Answer: GCF of Numerators as per given numbers 6807/292, 3986/3552 is

GCF of Numerators i.e. for 6807,3986 is 1

LCM of denominators i.e. for 292,3552 is 259296.

Thus, GCF of Fractions is 1/259296.Finally, GCF of Fractions for 6807/292, 3986/3552 is 1/259296.