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GCF of 7402/687, 8069/510

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 7402/687, 8069/510 i.e 1/116790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7402/687, 8069/510.

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 7402/687,8069/510?

Given fractions are 7402/687,8069/510

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 7402/687,8069/510, numerators are 7402,8069

Denominators are 687,510

The GCF of 7402,8069 is 1 .

LCM of 687,510 is 116790.

The greatest common factor of 7402/687,8069/510 = [GCF of 7402,8069]/[LCM of 687,510]= 1/116790

Therefore, the GCF of 7402/687,8069/510 is 1/116790.

Greatest Common Factor of 7402,8069

To find the highest common factor of 7402,8069, we have to find the factors of both numbers and list the highest common factor.

The factors of 7402 are 1, 2, 3701, 7402

The factors of 8069 are 1, 8069

The HCF of 7402,8069 is 1.

Lets's calculate GCF of 7402,8069

Greatest Common Factor (GCF) of 7402,8069 By Common Division

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

Greatest Common Factor of 7402,8069 By Matching Biggest Common Factor Method

Greatest Common Factor of 7402,8069 By Matching Biggest Common Factor Method

Now, list down the factors of 7402

:

1,2,3701,7402

Now, list down the factors of 8069

:

1,8069

Greatest Common Factor

We found the factors 7402,8069 . The biggest common factor number is the GCF number.
So the greatest common factor 7402,8069 is 1.

Lets's calculate LCM of 687,510

Lowest Common Multiple of 687,510 using Common Division

3 687, 510
229, 170

∴ So the LCM of the given numbers is 3 x 229 x 170 = 116790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116790

Therefore, the GCF of Fractions 7402/687,8069/510 is 1/116790

Least Common Multiple of 687,510 with GCF Formula

Least Common Multiple of 687,510 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 687,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,510) = 3

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

GCF(687,510) x common factors =3 x 1 = 3

LCM(687,510) = ( 687 × 510 ) / 3

LCM(687,510) = 350370 / 3

LCM(687,510) = 116790


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FAQs on GCF of Fractions of 7402/687, 8069/510

1. What is the HCF of 7402,8069?

The HCF of 7402,8069 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 7402/687, 8069/510?

Answer: GCF of Numerators as per given numbers 7402/687, 8069/510 is

GCF of Numerators i.e. for 7402,8069 is 1

LCM of denominators i.e. for 687,510 is 116790.

Thus, GCF of Fractions is 1/116790.Finally, GCF of Fractions for 7402/687, 8069/510 is 1/116790.