Greatest Common Factor of 6998/12, 3654/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6998/12, 3654/753

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 6998/12,3654/753

Given fractions are 6998/12,3654/753

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 6998,3654

Greatest Common Factor of Numerators i.e. GCF of 6998,3654 is 2 .

LCM of Denominators means LCM of 12,753 as per the given fractions.

LCM of 12,753 is 3012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6998,3654

GCF of Fractions 6998/12,3654/753 is 2/3012

2 6998, 3654
3499, 1827

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

Greatest Common Factor of 6998,3654 By Matching Biggest Common Factor Method

Greatest Common Factor of 6998,3654 By Matching Biggest Common Factor Method

Factors of 6998

List of positive integer factors of 6998 that divides 6998 without a remainder.

1,2,3499,6998

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

Greatest Common Factor

We found the factors 6998,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 6998,3654 is 2.

Lets's calculate LCM of 12,753

3 12, 753
4, 251

∴ So the LCM of the given numbers is 3 x 4 x 251 = 3012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3012

Therefore, the GCF of Fractions 6998/12,3654/753 is 2/3012

Least Common Multiple of 12,753 with GCF Formula

Least Common Multiple of 12,753 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 12,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,753) = 3

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

GCF(12,753) x common factors =3 x 1 = 3

LCM(12,753) = ( 12 × 753 ) / 3

LCM(12,753) = 9036 / 3

LCM(12,753) = 3012


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 6998/12, 3654/753

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 6998/12, 3654/753?

Answer: GCF of Numerators as per given numbers 6998/12, 3654/753 is

GCF of Numerators i.e. for 6998,3654 is 2

LCM of denominators i.e. for 12,753 is 3012.

Thus, GCF of Fractions is 2/3012.Finally, GCF of Fractions for 6998/12, 3654/753 is 2/3012.