Greatest Common Factor of 32/105, 2998/6970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/105, 2998/6970

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 32/105,2998/6970

Given fractions are 32/105,2998/6970

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 32,2998

Greatest Common Factor of Numerators i.e. GCF of 32,2998 is 2 .

LCM of Denominators means LCM of 105,6970 as per the given fractions.

LCM of 105,6970 is 146370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,2998

GCF of Fractions 32/105,2998/6970 is 2/146370

2 32, 2998
16, 1499

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

Greatest Common Factor of 32,2998 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,2998 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1,2,1499,2998

Greatest Common Factor

We found the factors 32,2998 . The biggest common factor number is the GCF number.
So the greatest common factor 32,2998 is 2.

Lets's calculate LCM of 105,6970

5 105, 6970
21, 1394

∴ So the LCM of the given numbers is 5 x 21 x 1394 = 146370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/146370

Therefore, the GCF of Fractions 32/105,2998/6970 is 2/146370

Least Common Multiple of 105,6970 with GCF Formula

Least Common Multiple of 105,6970 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 105,6970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,6970) = 5

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

GCF(105,6970) x common factors =5 x 1 = 5

LCM(105,6970) = ( 105 × 6970 ) / 5

LCM(105,6970) = 731850 / 5

LCM(105,6970) = 146370


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 32/105, 2998/6970

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 32/105, 2998/6970?

Answer: GCF of Numerators as per given numbers 32/105, 2998/6970 is

GCF of Numerators i.e. for 32,2998 is 2

LCM of denominators i.e. for 105,6970 is 146370.

Thus, GCF of Fractions is 2/146370.Finally, GCF of Fractions for 32/105, 2998/6970 is 2/146370.