Greatest Common Factor of 1872/224, 5892/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1872/224, 5892/566

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 1872/224,5892/566

Given fractions are 1872/224,5892/566

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 1872,5892

Greatest Common Factor of Numerators i.e. GCF of 1872,5892 is 12 .

LCM of Denominators means LCM of 224,566 as per the given fractions.

LCM of 224,566 is 63392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1872,5892

GCF of Fractions 1872/224,5892/566 is 12/63392

2 1872, 5892
2 936, 2946
3 468, 1473
156, 491

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 1872,5892 By Matching Biggest Common Factor Method

Greatest Common Factor of 1872,5892 By Matching Biggest Common Factor Method

Factors of 1872

List of positive integer factors of 1872 that divides 1872 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872

Factors of 5892

List of positive integer factors of 5892 that divides 5892 without a remainder.

1,2,3,4,6,12,491,982,1473,1964,2946,5892

Greatest Common Factor

We found the factors 1872,5892 . The biggest common factor number is the GCF number.
So the greatest common factor 1872,5892 is 12.

Lets's calculate LCM of 224,566

2 224, 566
112, 283

∴ So the LCM of the given numbers is 2 x 112 x 283 = 63392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/63392

Therefore, the GCF of Fractions 1872/224,5892/566 is 12/63392

Least Common Multiple of 224,566 with GCF Formula

Least Common Multiple of 224,566 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 224,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,566) = 2

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

GCF(224,566) x common factors =2 x 1 = 2

LCM(224,566) = ( 224 × 566 ) / 2

LCM(224,566) = 126784 / 2

LCM(224,566) = 63392


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1872/224, 5892/566

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 1872/224, 5892/566?

Answer: GCF of Numerators as per given numbers 1872/224, 5892/566 is

GCF of Numerators i.e. for 1872,5892 is 12

LCM of denominators i.e. for 224,566 is 63392.

Thus, GCF of Fractions is 12/63392.Finally, GCF of Fractions for 1872/224, 5892/566 is 12/63392.