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GCF of 487/340, 8762/6069

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 487/340, 8762/6069 i.e 1/121380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/340, 8762/6069.

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 487/340,8762/6069?

Given fractions are 487/340,8762/6069

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 487/340,8762/6069, numerators are 487,8762

Denominators are 340,6069

The GCF of 487,8762 is 1 .

LCM of 340,6069 is 121380.

The greatest common factor of 487/340,8762/6069 = [GCF of 487,8762]/[LCM of 340,6069]= 1/121380

Therefore, the GCF of 487/340,8762/6069 is 1/121380.

Greatest Common Factor of 487,8762

To find the highest common factor of 487,8762, we have to find the factors of both numbers and list the highest common factor.

The factors of 487 are 1, 487

The factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762

The HCF of 487,8762 is 1.

Lets's calculate GCF of 487,8762

Greatest Common Factor (GCF) of 487,8762 By Common Division

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

Greatest Common Factor of 487,8762 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,8762 By Matching Biggest Common Factor Method

Now, list down the factors of 487

:

1,487

Now, list down the factors of 8762

:

1,2,13,26,337,674,4381,8762

Greatest Common Factor

We found the factors 487,8762 . The biggest common factor number is the GCF number.
So the greatest common factor 487,8762 is 1.

Lets's calculate LCM of 340,6069

Lowest Common Multiple of 340,6069 using Common Division

17 340, 6069
20, 357

∴ So the LCM of the given numbers is 17 x 20 x 357 = 121380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121380

Therefore, the GCF of Fractions 487/340,8762/6069 is 1/121380

Least Common Multiple of 340,6069 with GCF Formula

Least Common Multiple of 340,6069 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 340,6069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,6069) = 17

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

GCF(340,6069) x common factors =17 x 1 = 17

LCM(340,6069) = ( 340 × 6069 ) / 17

LCM(340,6069) = 2063460 / 17

LCM(340,6069) = 121380


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FAQs on GCF of Fractions of 487/340, 8762/6069

1. What is the HCF of 487,8762?

The HCF of 487,8762 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 487/340, 8762/6069?

Answer: GCF of Numerators as per given numbers 487/340, 8762/6069 is

GCF of Numerators i.e. for 487,8762 is 1

LCM of denominators i.e. for 340,6069 is 121380.

Thus, GCF of Fractions is 1/121380.Finally, GCF of Fractions for 487/340, 8762/6069 is 1/121380.