LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 876/66, 618/686

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 876/66, 618/686 i.e 6/22638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/66, 618/686.

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 876/66,618/686?

Given fractions are 876/66,618/686

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 876/66,618/686, numerators are 876,618

Denominators are 66,686

The GCF of 876,618 is 6 .

LCM of 66,686 is 22638.

The greatest common factor of 876/66,618/686 = [GCF of 876,618]/[LCM of 66,686]= 6/22638

Therefore, the GCF of 876/66,618/686 is 6/22638.

Greatest Common Factor of 876,618

To find the highest common factor of 876,618, we have to find the factors of both numbers and list the highest common factor.

The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The HCF of 876,618 is 6.

Lets's calculate GCF of 876,618

Greatest Common Factor (GCF) of 876,618 By Common Division

2 876, 618
3 438, 309
146, 103

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 876,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,618 By Matching Biggest Common Factor Method

Now, list down the factors of 876

:

1,2,3,4,6,12,73,146,219,292,438,876

Now, list down the factors of 618

:

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 876,618 . The biggest common factor number is the GCF number.
So the greatest common factor 876,618 is 6.

Lets's calculate LCM of 66,686

Lowest Common Multiple of 66,686 using Common Division

2 66, 686
33, 343

∴ So the LCM of the given numbers is 2 x 33 x 343 = 22638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/22638

Therefore, the GCF of Fractions 876/66,618/686 is 6/22638

Least Common Multiple of 66,686 with GCF Formula

Least Common Multiple of 66,686 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 66,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,686) = 2

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

GCF(66,686) x common factors =2 x 1 = 2

LCM(66,686) = ( 66 × 686 ) / 2

LCM(66,686) = 45276 / 2

LCM(66,686) = 22638


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 876/66, 618/686

1. What is the HCF of 876,618?

The HCF of 876,618 is 6

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 876/66, 618/686?

Answer: GCF of Numerators as per given numbers 876/66, 618/686 is

GCF of Numerators i.e. for 876,618 is 6

LCM of denominators i.e. for 66,686 is 22638.

Thus, GCF of Fractions is 6/22638.Finally, GCF of Fractions for 876/66, 618/686 is 6/22638.