Greatest Common Factor of 7007/929, 4935/2151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7007/929, 4935/2151

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 7007/929,4935/2151

Given fractions are 7007/929,4935/2151

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 7007,4935

Greatest Common Factor of Numerators i.e. GCF of 7007,4935 is 7 .

LCM of Denominators means LCM of 929,2151 as per the given fractions.

LCM of 929,2151 is 1998279 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7007,4935

GCF of Fractions 7007/929,4935/2151 is 7/1998279

7 7007, 4935
1001, 705

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7007,4935 By Matching Biggest Common Factor Method

Greatest Common Factor of 7007,4935 By Matching Biggest Common Factor Method

Factors of 7007

List of positive integer factors of 7007 that divides 7007 without a remainder.

1,7,11,13,49,77,91,143,539,637,1001,7007

Factors of 4935

List of positive integer factors of 4935 that divides 4935 without a remainder.

1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935

Greatest Common Factor

We found the factors 7007,4935 . The biggest common factor number is the GCF number.
So the greatest common factor 7007,4935 is 7.

Lets's calculate LCM of 929,2151

Given numbers has no common factors except 1. So, there LCM is their product i.e 1998279

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1998279

Therefore, the GCF of Fractions 7007/929,4935/2151 is 7/1998279

Least Common Multiple of 929,2151 with GCF Formula

Least Common Multiple of 929,2151 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 929,2151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,2151) = 1

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

GCF(929,2151) x common factors =1 x 1 = 1

LCM(929,2151) = ( 929 × 2151 ) / 1

LCM(929,2151) = 1998279 / 1

LCM(929,2151) = 1998279


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 7007/929, 4935/2151

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 7007/929, 4935/2151?

Answer: GCF of Numerators as per given numbers 7007/929, 4935/2151 is

GCF of Numerators i.e. for 7007,4935 is 7

LCM of denominators i.e. for 929,2151 is 1998279.

Thus, GCF of Fractions is 7/1998279.Finally, GCF of Fractions for 7007/929, 4935/2151 is 7/1998279.