How to Find GCF of 864/80, 846/9864?

GCF of 864/80, 846/9864

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 864/80, 846/9864 i.e 18/98640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 864/80, 846/9864.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 864/80,846/9864?

Given fractions are 864/80,846/9864

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 864/80,846/9864, numerators are 864,846

Denominators are 80,9864

The GCF of 864,846 is 18 .

LCM of 80,9864 is 98640.

The greatest common factor of 864/80,846/9864 = [GCF of 864,846]/[LCM of 80,9864]= 18/98640

Therefore, the GCF of 864/80,846/9864 is 18/98640.

Greatest Common Factor of 864,846

To find the highest common factor of 864,846, we have to find the factors of both numbers and list the highest common factor.

The factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The HCF of 864,846 is 18.

Lets's calculate GCF of 864,846

Greatest Common Factor (GCF) of 864,846 By Common Division

2	864, 846
3	432, 423
3	144, 141
	48, 47

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 864,846 By Matching Biggest Common Factor Method

Now, list down the factors of 864

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Now, list down the factors of 846

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 864,846 . The biggest common factor number is the GCF number.
So the greatest common factor 864,846 is 18.

Lets's calculate LCM of 80,9864

Lowest Common Multiple of 80,9864 using Common Division

2	80, 9864
2	40, 4932
2	20, 2466
	10, 1233

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 1233 = 98640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/98640

Therefore, the GCF of Fractions 864/80,846/9864 is 18/98640

Least Common Multiple of 80,9864 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 80,9864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,9864) = 8

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

GCF(80,9864) x common factors =8 x 1 = 8

LCM(80,9864) = ( 80 × 9864 ) / 8

LCM(80,9864) = 789120 / 8

LCM(80,9864) = 98640

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FAQs on GCF of Fractions of 864/80, 846/9864

1. What is the HCF of 864,846?

The HCF of 864,846 is 18

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 864/80, 846/9864?

Answer: GCF of Numerators as per given numbers 864/80, 846/9864 is

GCF of Numerators i.e. for 864,846 is 18

LCM of denominators i.e. for 80,9864 is 98640.

Thus, GCF of Fractions is 18/98640.Finally, GCF of Fractions for 864/80, 846/9864 is 18/98640.