Greatest Common Factor of 9954/928, 7035/5705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9954/928, 7035/5705

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 9954/928,7035/5705

Given fractions are 9954/928,7035/5705

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 9954,7035

Greatest Common Factor of Numerators i.e. GCF of 9954,7035 is 21 .

LCM of Denominators means LCM of 928,5705 as per the given fractions.

LCM of 928,5705 is 5294240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9954,7035

GCF of Fractions 9954/928,7035/5705 is 21/5294240

3 9954, 7035
7 3318, 2345
474, 335

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 9954,7035 By Matching Biggest Common Factor Method

Greatest Common Factor of 9954,7035 By Matching Biggest Common Factor Method

Factors of 9954

List of positive integer factors of 9954 that divides 9954 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954

Factors of 7035

List of positive integer factors of 7035 that divides 7035 without a remainder.

1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035

Greatest Common Factor

We found the factors 9954,7035 . The biggest common factor number is the GCF number.
So the greatest common factor 9954,7035 is 21.

Lets's calculate LCM of 928,5705

Given numbers has no common factors except 1. So, there LCM is their product i.e 5294240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/5294240

Therefore, the GCF of Fractions 9954/928,7035/5705 is 21/5294240

Least Common Multiple of 928,5705 with GCF Formula

Least Common Multiple of 928,5705 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 928,5705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,5705) = 1

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

GCF(928,5705) x common factors =1 x 1 = 1

LCM(928,5705) = ( 928 × 5705 ) / 1

LCM(928,5705) = 5294240 / 1

LCM(928,5705) = 5294240


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 9954/928, 7035/5705

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 9954/928, 7035/5705?

Answer: GCF of Numerators as per given numbers 9954/928, 7035/5705 is

GCF of Numerators i.e. for 9954,7035 is 21

LCM of denominators i.e. for 928,5705 is 5294240.

Thus, GCF of Fractions is 21/5294240.Finally, GCF of Fractions for 9954/928, 7035/5705 is 21/5294240.