How to Find GCF of 2486/792, 3407/865?

GCF of 2486/792, 3407/865

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 2486/792, 3407/865 i.e 1/685080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2486/792, 3407/865.

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 2486/792,3407/865?

Given fractions are 2486/792,3407/865

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 2486/792,3407/865, numerators are 2486,3407

Denominators are 792,865

The GCF of 2486,3407 is 1 .

LCM of 792,865 is 685080.

The greatest common factor of 2486/792,3407/865 = [GCF of 2486,3407]/[LCM of 792,865]= 1/685080

Therefore, the GCF of 2486/792,3407/865 is 1/685080.

Greatest Common Factor of 2486,3407

To find the highest common factor of 2486,3407, we have to find the factors of both numbers and list the highest common factor.

The factors of 2486 are 1, 2, 11, 22, 113, 226, 1243, 2486

The factors of 3407 are 1, 3407

The HCF of 2486,3407 is 1.

Lets's calculate GCF of 2486,3407

Greatest Common Factor (GCF) of 2486,3407 By Common Division

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

Greatest Common Factor of 2486,3407 By Matching Biggest Common Factor Method

Now, list down the factors of 2486

1,2,11,22,113,226,1243,2486

Now, list down the factors of 3407

1,3407

Greatest Common Factor

We found the factors 2486,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 2486,3407 is 1.

Lets's calculate LCM of 792,865

Lowest Common Multiple of 792,865 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 685080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/685080

Therefore, the GCF of Fractions 2486/792,3407/865 is 1/685080

Least Common Multiple of 792,865 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 792,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,865) = 1

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

GCF(792,865) x common factors =1 x 1 = 1

LCM(792,865) = ( 792 × 865 ) / 1

LCM(792,865) = 685080 / 1

LCM(792,865) = 685080

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FAQs on GCF of Fractions of 2486/792, 3407/865

1. What is the HCF of 2486,3407?

The HCF of 2486,3407 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 2486/792, 3407/865?

Answer: GCF of Numerators as per given numbers 2486/792, 3407/865 is

GCF of Numerators i.e. for 2486,3407 is 1

LCM of denominators i.e. for 792,865 is 685080.

Thus, GCF of Fractions is 1/685080.Finally, GCF of Fractions for 2486/792, 3407/865 is 1/685080.