Greatest Common Factor of 1028/298, 3410/5798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1028/298, 3410/5798

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 1028/298,3410/5798

Given fractions are 1028/298,3410/5798

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 1028,3410

Greatest Common Factor of Numerators i.e. GCF of 1028,3410 is 2 .

LCM of Denominators means LCM of 298,5798 as per the given fractions.

LCM of 298,5798 is 863902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1028,3410

GCF of Fractions 1028/298,3410/5798 is 2/863902

2 1028, 3410
514, 1705

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

Greatest Common Factor of 1028,3410 By Matching Biggest Common Factor Method

Greatest Common Factor of 1028,3410 By Matching Biggest Common Factor Method

Factors of 1028

List of positive integer factors of 1028 that divides 1028 without a remainder.

1,2,4,257,514,1028

Factors of 3410

List of positive integer factors of 3410 that divides 3410 without a remainder.

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Greatest Common Factor

We found the factors 1028,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 1028,3410 is 2.

Lets's calculate LCM of 298,5798

2 298, 5798
149, 2899

∴ So the LCM of the given numbers is 2 x 149 x 2899 = 863902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/863902

Therefore, the GCF of Fractions 1028/298,3410/5798 is 2/863902

Least Common Multiple of 298,5798 with GCF Formula

Least Common Multiple of 298,5798 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 298,5798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,5798) = 2

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

GCF(298,5798) x common factors =2 x 1 = 2

LCM(298,5798) = ( 298 × 5798 ) / 2

LCM(298,5798) = 1727804 / 2

LCM(298,5798) = 863902


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 1028/298, 3410/5798

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 1028/298, 3410/5798?

Answer: GCF of Numerators as per given numbers 1028/298, 3410/5798 is

GCF of Numerators i.e. for 1028,3410 is 2

LCM of denominators i.e. for 298,5798 is 863902.

Thus, GCF of Fractions is 2/863902.Finally, GCF of Fractions for 1028/298, 3410/5798 is 2/863902.