Greatest Common Factor of 1012/699, 4198/6900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1012/699, 4198/6900

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 1012/699,4198/6900

Given fractions are 1012/699,4198/6900

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 1012,4198

Greatest Common Factor of Numerators i.e. GCF of 1012,4198 is 2 .

LCM of Denominators means LCM of 699,6900 as per the given fractions.

LCM of 699,6900 is 1607700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1012,4198

GCF of Fractions 1012/699,4198/6900 is 2/1607700

2 1012, 4198
506, 2099

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

Greatest Common Factor of 1012,4198 By Matching Biggest Common Factor Method

Greatest Common Factor of 1012,4198 By Matching Biggest Common Factor Method

Factors of 1012

List of positive integer factors of 1012 that divides 1012 without a remainder.

1,2,4,11,22,23,44,46,92,253,506,1012

Factors of 4198

List of positive integer factors of 4198 that divides 4198 without a remainder.

1,2,2099,4198

Greatest Common Factor

We found the factors 1012,4198 . The biggest common factor number is the GCF number.
So the greatest common factor 1012,4198 is 2.

Lets's calculate LCM of 699,6900

3 699, 6900
233, 2300

∴ So the LCM of the given numbers is 3 x 233 x 2300 = 1607700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1607700

Therefore, the GCF of Fractions 1012/699,4198/6900 is 2/1607700

Least Common Multiple of 699,6900 with GCF Formula

Least Common Multiple of 699,6900 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 699,6900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,6900) = 3

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

GCF(699,6900) x common factors =3 x 1 = 3

LCM(699,6900) = ( 699 × 6900 ) / 3

LCM(699,6900) = 4823100 / 3

LCM(699,6900) = 1607700


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 1012/699, 4198/6900

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 1012/699, 4198/6900?

Answer: GCF of Numerators as per given numbers 1012/699, 4198/6900 is

GCF of Numerators i.e. for 1012,4198 is 2

LCM of denominators i.e. for 699,6900 is 1607700.

Thus, GCF of Fractions is 2/1607700.Finally, GCF of Fractions for 1012/699, 4198/6900 is 2/1607700.