Greatest Common Factor of 1827/528, 4596/3532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1827/528, 4596/3532

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 1827/528,4596/3532

Given fractions are 1827/528,4596/3532

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 1827,4596

Greatest Common Factor of Numerators i.e. GCF of 1827,4596 is 3 .

LCM of Denominators means LCM of 528,3532 as per the given fractions.

LCM of 528,3532 is 466224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1827,4596

GCF of Fractions 1827/528,4596/3532 is 3/466224

3 1827, 4596
609, 1532

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1827,4596 By Matching Biggest Common Factor Method

Greatest Common Factor of 1827,4596 By Matching Biggest Common Factor Method

Factors of 1827

List of positive integer factors of 1827 that divides 1827 without a remainder.

1,3,7,9,21,29,63,87,203,261,609,1827

Factors of 4596

List of positive integer factors of 4596 that divides 4596 without a remainder.

1,2,3,4,6,12,383,766,1149,1532,2298,4596

Greatest Common Factor

We found the factors 1827,4596 . The biggest common factor number is the GCF number.
So the greatest common factor 1827,4596 is 3.

Lets's calculate LCM of 528,3532

2 528, 3532
2 264, 1766
132, 883

∴ So the LCM of the given numbers is 2 x 2 x 132 x 883 = 466224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/466224

Therefore, the GCF of Fractions 1827/528,4596/3532 is 3/466224

Least Common Multiple of 528,3532 with GCF Formula

Least Common Multiple of 528,3532 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 528,3532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,3532) = 4

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

GCF(528,3532) x common factors =4 x 1 = 4

LCM(528,3532) = ( 528 × 3532 ) / 4

LCM(528,3532) = 1864896 / 4

LCM(528,3532) = 466224


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 1827/528, 4596/3532

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 1827/528, 4596/3532?

Answer: GCF of Numerators as per given numbers 1827/528, 4596/3532 is

GCF of Numerators i.e. for 1827,4596 is 3

LCM of denominators i.e. for 528,3532 is 466224.

Thus, GCF of Fractions is 3/466224.Finally, GCF of Fractions for 1827/528, 4596/3532 is 3/466224.