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GCF of 3086/679, 2477/8668

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 3086/679, 2477/8668 i.e 1/5885572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3086/679, 2477/8668.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3086/679,2477/8668?

Given fractions are 3086/679,2477/8668

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 3086/679,2477/8668, numerators are 3086,2477

Denominators are 679,8668

The GCF of 3086,2477 is 1 .

LCM of 679,8668 is 5885572.

The greatest common factor of 3086/679,2477/8668 = [GCF of 3086,2477]/[LCM of 679,8668]= 1/5885572

Therefore, the GCF of 3086/679,2477/8668 is 1/5885572.

Greatest Common Factor of 3086,2477

To find the highest common factor of 3086,2477, we have to find the factors of both numbers and list the highest common factor.

The factors of 3086 are 1, 2, 1543, 3086

The factors of 2477 are 1, 2477

The HCF of 3086,2477 is 1.

Lets's calculate GCF of 3086,2477

Greatest Common Factor (GCF) of 3086,2477 By Common Division

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

Greatest Common Factor of 3086,2477 By Matching Biggest Common Factor Method

Greatest Common Factor of 3086,2477 By Matching Biggest Common Factor Method

Now, list down the factors of 3086

:

1,2,1543,3086

Now, list down the factors of 2477

:

1,2477

Greatest Common Factor

We found the factors 3086,2477 . The biggest common factor number is the GCF number.
So the greatest common factor 3086,2477 is 1.

Lets's calculate LCM of 679,8668

Lowest Common Multiple of 679,8668 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5885572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5885572

Therefore, the GCF of Fractions 3086/679,2477/8668 is 1/5885572

Least Common Multiple of 679,8668 with GCF Formula

Least Common Multiple of 679,8668 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 679,8668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,8668) = 1

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

GCF(679,8668) x common factors =1 x 1 = 1

LCM(679,8668) = ( 679 × 8668 ) / 1

LCM(679,8668) = 5885572 / 1

LCM(679,8668) = 5885572


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FAQs on GCF of Fractions of 3086/679, 2477/8668

1. What is the HCF of 3086,2477?

The HCF of 3086,2477 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 3086/679, 2477/8668?

Answer: GCF of Numerators as per given numbers 3086/679, 2477/8668 is

GCF of Numerators i.e. for 3086,2477 is 1

LCM of denominators i.e. for 679,8668 is 5885572.

Thus, GCF of Fractions is 1/5885572.Finally, GCF of Fractions for 3086/679, 2477/8668 is 1/5885572.