Greatest Common Factor of 7462/747, 9905/9493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7462/747, 9905/9493

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 7462/747,9905/9493

Given fractions are 7462/747,9905/9493

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 7462,9905

Greatest Common Factor of Numerators i.e. GCF of 7462,9905 is 7 .

LCM of Denominators means LCM of 747,9493 as per the given fractions.

LCM of 747,9493 is 7091271 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7462,9905

GCF of Fractions 7462/747,9905/9493 is 7/7091271

7 7462, 9905
1066, 1415

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

Greatest Common Factor of 7462,9905 By Matching Biggest Common Factor Method

Greatest Common Factor of 7462,9905 By Matching Biggest Common Factor Method

Factors of 7462

List of positive integer factors of 7462 that divides 7462 without a remainder.

1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462

Factors of 9905

List of positive integer factors of 9905 that divides 9905 without a remainder.

1,5,7,35,283,1415,1981,9905

Greatest Common Factor

We found the factors 7462,9905 . The biggest common factor number is the GCF number.
So the greatest common factor 7462,9905 is 7.

Lets's calculate LCM of 747,9493

Given numbers has no common factors except 1. So, there LCM is their product i.e 7091271

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/7091271

Therefore, the GCF of Fractions 7462/747,9905/9493 is 7/7091271

Least Common Multiple of 747,9493 with GCF Formula

Least Common Multiple of 747,9493 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 747,9493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,9493) = 1

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

GCF(747,9493) x common factors =1 x 1 = 1

LCM(747,9493) = ( 747 × 9493 ) / 1

LCM(747,9493) = 7091271 / 1

LCM(747,9493) = 7091271


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 7462/747, 9905/9493

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 7462/747, 9905/9493?

Answer: GCF of Numerators as per given numbers 7462/747, 9905/9493 is

GCF of Numerators i.e. for 7462,9905 is 7

LCM of denominators i.e. for 747,9493 is 7091271.

Thus, GCF of Fractions is 7/7091271.Finally, GCF of Fractions for 7462/747, 9905/9493 is 7/7091271.