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GCF of 487/270, 3652/682

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 487/270, 3652/682 i.e 1/92070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/270, 3652/682.

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 487/270,3652/682?

Given fractions are 487/270,3652/682

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 487/270,3652/682, numerators are 487,3652

Denominators are 270,682

The GCF of 487,3652 is 1 .

LCM of 270,682 is 92070.

The greatest common factor of 487/270,3652/682 = [GCF of 487,3652]/[LCM of 270,682]= 1/92070

Therefore, the GCF of 487/270,3652/682 is 1/92070.

Greatest Common Factor of 487,3652

To find the highest common factor of 487,3652, 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 3652 are 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826, 3652

The HCF of 487,3652 is 1.

Lets's calculate GCF of 487,3652

Greatest Common Factor (GCF) of 487,3652 By Common Division

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

Greatest Common Factor of 487,3652 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,3652 By Matching Biggest Common Factor Method

Now, list down the factors of 487

:

1,487

Now, list down the factors of 3652

:

1,2,4,11,22,44,83,166,332,913,1826,3652

Greatest Common Factor

We found the factors 487,3652 . The biggest common factor number is the GCF number.
So the greatest common factor 487,3652 is 1.

Lets's calculate LCM of 270,682

Lowest Common Multiple of 270,682 using Common Division

2 270, 682
135, 341

∴ So the LCM of the given numbers is 2 x 135 x 341 = 92070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92070

Therefore, the GCF of Fractions 487/270,3652/682 is 1/92070

Least Common Multiple of 270,682 with GCF Formula

Least Common Multiple of 270,682 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 270,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,682) = 2

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

GCF(270,682) x common factors =2 x 1 = 2

LCM(270,682) = ( 270 × 682 ) / 2

LCM(270,682) = 184140 / 2

LCM(270,682) = 92070


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FAQs on GCF of Fractions of 487/270, 3652/682

1. What is the HCF of 487,3652?

The HCF of 487,3652 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 487/270, 3652/682?

Answer: GCF of Numerators as per given numbers 487/270, 3652/682 is

GCF of Numerators i.e. for 487,3652 is 1

LCM of denominators i.e. for 270,682 is 92070.

Thus, GCF of Fractions is 1/92070.Finally, GCF of Fractions for 487/270, 3652/682 is 1/92070.