Greatest Common Factor of 1898/522, 4854/2028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1898/522, 4854/2028

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 1898/522,4854/2028

Given fractions are 1898/522,4854/2028

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 1898,4854

Greatest Common Factor of Numerators i.e. GCF of 1898,4854 is 2 .

LCM of Denominators means LCM of 522,2028 as per the given fractions.

LCM of 522,2028 is 176436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1898,4854

GCF of Fractions 1898/522,4854/2028 is 2/176436

2 1898, 4854
949, 2427

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

Greatest Common Factor of 1898,4854 By Matching Biggest Common Factor Method

Greatest Common Factor of 1898,4854 By Matching Biggest Common Factor Method

Factors of 1898

List of positive integer factors of 1898 that divides 1898 without a remainder.

1,2,13,26,73,146,949,1898

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1,2,3,6,809,1618,2427,4854

Greatest Common Factor

We found the factors 1898,4854 . The biggest common factor number is the GCF number.
So the greatest common factor 1898,4854 is 2.

Lets's calculate LCM of 522,2028

2 522, 2028
3 261, 1014
87, 338

∴ So the LCM of the given numbers is 2 x 3 x 87 x 338 = 176436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176436

Therefore, the GCF of Fractions 1898/522,4854/2028 is 2/176436

Least Common Multiple of 522,2028 with GCF Formula

Least Common Multiple of 522,2028 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 522,2028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,2028) = 6

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

GCF(522,2028) x common factors =6 x 1 = 6

LCM(522,2028) = ( 522 × 2028 ) / 6

LCM(522,2028) = 1058616 / 6

LCM(522,2028) = 176436


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 1898/522, 4854/2028

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 1898/522, 4854/2028?

Answer: GCF of Numerators as per given numbers 1898/522, 4854/2028 is

GCF of Numerators i.e. for 1898,4854 is 2

LCM of denominators i.e. for 522,2028 is 176436.

Thus, GCF of Fractions is 2/176436.Finally, GCF of Fractions for 1898/522, 4854/2028 is 2/176436.