Greatest Common Factor of 7698/70, 1512/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7698/70, 1512/999

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 7698/70,1512/999

Given fractions are 7698/70,1512/999

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 7698,1512

Greatest Common Factor of Numerators i.e. GCF of 7698,1512 is 6 .

LCM of Denominators means LCM of 70,999 as per the given fractions.

LCM of 70,999 is 69930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7698,1512

GCF of Fractions 7698/70,1512/999 is 6/69930

2 7698, 1512
3 3849, 756
1283, 252

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

Greatest Common Factor of 7698,1512 By Matching Biggest Common Factor Method

Greatest Common Factor of 7698,1512 By Matching Biggest Common Factor Method

Factors of 7698

List of positive integer factors of 7698 that divides 7698 without a remainder.

1,2,3,6,1283,2566,3849,7698

Factors of 1512

List of positive integer factors of 1512 that divides 1512 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512

Greatest Common Factor

We found the factors 7698,1512 . The biggest common factor number is the GCF number.
So the greatest common factor 7698,1512 is 6.

Lets's calculate LCM of 70,999

Given numbers has no common factors except 1. So, there LCM is their product i.e 69930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/69930

Therefore, the GCF of Fractions 7698/70,1512/999 is 6/69930

Least Common Multiple of 70,999 with GCF Formula

Least Common Multiple of 70,999 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 70,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,999) = 1

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

GCF(70,999) x common factors =1 x 1 = 1

LCM(70,999) = ( 70 × 999 ) / 1

LCM(70,999) = 69930 / 1

LCM(70,999) = 69930


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 7698/70, 1512/999

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 7698/70, 1512/999?

Answer: GCF of Numerators as per given numbers 7698/70, 1512/999 is

GCF of Numerators i.e. for 7698,1512 is 6

LCM of denominators i.e. for 70,999 is 69930.

Thus, GCF of Fractions is 6/69930.Finally, GCF of Fractions for 7698/70, 1512/999 is 6/69930.