Greatest Common Factor of 4826/893, 1872/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4826/893, 1872/467

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 4826/893,1872/467

Given fractions are 4826/893,1872/467

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 4826,1872

Greatest Common Factor of Numerators i.e. GCF of 4826,1872 is 2 .

LCM of Denominators means LCM of 893,467 as per the given fractions.

LCM of 893,467 is 417031 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4826,1872

GCF of Fractions 4826/893,1872/467 is 2/417031

2 4826, 1872
2413, 936

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4826,1872 By Matching Biggest Common Factor Method

Greatest Common Factor of 4826,1872 By Matching Biggest Common Factor Method

Factors of 4826

List of positive integer factors of 4826 that divides 4826 without a remainder.

1,2,19,38,127,254,2413,4826

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

Greatest Common Factor

We found the factors 4826,1872 . The biggest common factor number is the GCF number.
So the greatest common factor 4826,1872 is 2.

Lets's calculate LCM of 893,467

Given numbers has no common factors except 1. So, there LCM is their product i.e 417031

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/417031

Therefore, the GCF of Fractions 4826/893,1872/467 is 2/417031

Least Common Multiple of 893,467 with GCF Formula

Least Common Multiple of 893,467 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 893,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,467) = 1

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

GCF(893,467) x common factors =1 x 1 = 1

LCM(893,467) = ( 893 × 467 ) / 1

LCM(893,467) = 417031 / 1

LCM(893,467) = 417031


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 4826/893, 1872/467

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 4826/893, 1872/467?

Answer: GCF of Numerators as per given numbers 4826/893, 1872/467 is

GCF of Numerators i.e. for 4826,1872 is 2

LCM of denominators i.e. for 893,467 is 417031.

Thus, GCF of Fractions is 2/417031.Finally, GCF of Fractions for 4826/893, 1872/467 is 2/417031.