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GCF of 387/616, 830/566

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 387/616, 830/566 i.e 1/174328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 387/616, 830/566.

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 387/616,830/566?

Given fractions are 387/616,830/566

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 387/616,830/566, numerators are 387,830

Denominators are 616,566

The GCF of 387,830 is 1 .

LCM of 616,566 is 174328.

The greatest common factor of 387/616,830/566 = [GCF of 387,830]/[LCM of 616,566]= 1/174328

Therefore, the GCF of 387/616,830/566 is 1/174328.

Greatest Common Factor of 387,830

To find the highest common factor of 387,830, we have to find the factors of both numbers and list the highest common factor.

The factors of 387 are 1, 3, 9, 43, 129, 387

The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830

The HCF of 387,830 is 1.

Lets's calculate GCF of 387,830

Greatest Common Factor (GCF) of 387,830 By Common Division

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

Greatest Common Factor of 387,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,830 By Matching Biggest Common Factor Method

Now, list down the factors of 387

:

1,3,9,43,129,387

Now, list down the factors of 830

:

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 387,830 . The biggest common factor number is the GCF number.
So the greatest common factor 387,830 is 1.

Lets's calculate LCM of 616,566

Lowest Common Multiple of 616,566 using Common Division

2 616, 566
308, 283

∴ So the LCM of the given numbers is 2 x 308 x 283 = 174328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174328

Therefore, the GCF of Fractions 387/616,830/566 is 1/174328

Least Common Multiple of 616,566 with GCF Formula

Least Common Multiple of 616,566 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 616,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,566) = 2

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

GCF(616,566) x common factors =2 x 1 = 2

LCM(616,566) = ( 616 × 566 ) / 2

LCM(616,566) = 348656 / 2

LCM(616,566) = 174328


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FAQs on GCF of Fractions of 387/616, 830/566

1. What is the HCF of 387,830?

The HCF of 387,830 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 387/616, 830/566?

Answer: GCF of Numerators as per given numbers 387/616, 830/566 is

GCF of Numerators i.e. for 387,830 is 1

LCM of denominators i.e. for 616,566 is 174328.

Thus, GCF of Fractions is 1/174328.Finally, GCF of Fractions for 387/616, 830/566 is 1/174328.