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GCF of 822/60, 264/866

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 822/60, 264/866 i.e 6/25980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 822/60, 264/866.

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 822/60,264/866?

Given fractions are 822/60,264/866

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 822/60,264/866, numerators are 822,264

Denominators are 60,866

The GCF of 822,264 is 6 .

LCM of 60,866 is 25980.

The greatest common factor of 822/60,264/866 = [GCF of 822,264]/[LCM of 60,866]= 6/25980

Therefore, the GCF of 822/60,264/866 is 6/25980.

Greatest Common Factor of 822,264

To find the highest common factor of 822,264, we have to find the factors of both numbers and list the highest common factor.

The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

The HCF of 822,264 is 6.

Lets's calculate GCF of 822,264

Greatest Common Factor (GCF) of 822,264 By Common Division

2 822, 264
3 411, 132
137, 44

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

Greatest Common Factor of 822,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,264 By Matching Biggest Common Factor Method

Now, list down the factors of 822

:

1,2,3,6,137,274,411,822

Now, list down the factors of 264

:

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 822,264 . The biggest common factor number is the GCF number.
So the greatest common factor 822,264 is 6.

Lets's calculate LCM of 60,866

Lowest Common Multiple of 60,866 using Common Division

2 60, 866
30, 433

∴ So the LCM of the given numbers is 2 x 30 x 433 = 25980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/25980

Therefore, the GCF of Fractions 822/60,264/866 is 6/25980

Least Common Multiple of 60,866 with GCF Formula

Least Common Multiple of 60,866 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 60,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,866) = 2

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

GCF(60,866) x common factors =2 x 1 = 2

LCM(60,866) = ( 60 × 866 ) / 2

LCM(60,866) = 51960 / 2

LCM(60,866) = 25980


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FAQs on GCF of Fractions of 822/60, 264/866

1. What is the HCF of 822,264?

The HCF of 822,264 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 822/60, 264/866?

Answer: GCF of Numerators as per given numbers 822/60, 264/866 is

GCF of Numerators i.e. for 822,264 is 6

LCM of denominators i.e. for 60,866 is 25980.

Thus, GCF of Fractions is 6/25980.Finally, GCF of Fractions for 822/60, 264/866 is 6/25980.