Greatest Common Factor of 5874/898, 4890/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5874/898, 4890/843

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 5874/898,4890/843

Given fractions are 5874/898,4890/843

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 5874,4890

Greatest Common Factor of Numerators i.e. GCF of 5874,4890 is 6 .

LCM of Denominators means LCM of 898,843 as per the given fractions.

LCM of 898,843 is 757014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5874,4890

GCF of Fractions 5874/898,4890/843 is 6/757014

2 5874, 4890
3 2937, 2445
979, 815

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5874,4890 By Matching Biggest Common Factor Method

Greatest Common Factor of 5874,4890 By Matching Biggest Common Factor Method

Factors of 5874

List of positive integer factors of 5874 that divides 5874 without a remainder.

1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874

Factors of 4890

List of positive integer factors of 4890 that divides 4890 without a remainder.

1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890

Greatest Common Factor

We found the factors 5874,4890 . The biggest common factor number is the GCF number.
So the greatest common factor 5874,4890 is 6.

Lets's calculate LCM of 898,843

Given numbers has no common factors except 1. So, there LCM is their product i.e 757014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/757014

Therefore, the GCF of Fractions 5874/898,4890/843 is 6/757014

Least Common Multiple of 898,843 with GCF Formula

Least Common Multiple of 898,843 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 898,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,843) = 1

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

GCF(898,843) x common factors =1 x 1 = 1

LCM(898,843) = ( 898 × 843 ) / 1

LCM(898,843) = 757014 / 1

LCM(898,843) = 757014


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 5874/898, 4890/843

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 5874/898, 4890/843?

Answer: GCF of Numerators as per given numbers 5874/898, 4890/843 is

GCF of Numerators i.e. for 5874,4890 is 6

LCM of denominators i.e. for 898,843 is 757014.

Thus, GCF of Fractions is 6/757014.Finally, GCF of Fractions for 5874/898, 4890/843 is 6/757014.