Greatest Common Factor of 264/520, 864/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 264/520, 864/496

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 264/520,864/496

Given fractions are 264/520,864/496

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 264,864

Greatest Common Factor of Numerators i.e. GCF of 264,864 is 24 .

LCM of Denominators means LCM of 520,496 as per the given fractions.

LCM of 520,496 is 32240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 264,864

GCF of Fractions 264/520,864/496 is 24/32240

2 264, 864
2 132, 432
2 66, 216
3 33, 108
11, 36

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 264,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,864 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

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

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

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

Greatest Common Factor

We found the factors 264,864 . The biggest common factor number is the GCF number.
So the greatest common factor 264,864 is 24.

Lets's calculate LCM of 520,496

2 520, 496
2 260, 248
2 130, 124
65, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 62 = 32240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/32240

Therefore, the GCF of Fractions 264/520,864/496 is 24/32240

Least Common Multiple of 520,496 with GCF Formula

Least Common Multiple of 520,496 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 520,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,496) = 8

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

GCF(520,496) x common factors =8 x 1 = 8

LCM(520,496) = ( 520 × 496 ) / 8

LCM(520,496) = 257920 / 8

LCM(520,496) = 32240


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 264/520, 864/496

1. 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.

2. What is the GCF of Fractions for 264/520, 864/496?

Answer: GCF of Numerators as per given numbers 264/520, 864/496 is

GCF of Numerators i.e. for 264,864 is 24

LCM of denominators i.e. for 520,496 is 32240.

Thus, GCF of Fractions is 24/32240.Finally, GCF of Fractions for 264/520, 864/496 is 24/32240.