Greatest Common Factor of 1505/97, 7998/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1505/97, 7998/464

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 1505/97,7998/464

Given fractions are 1505/97,7998/464

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 1505,7998

Greatest Common Factor of Numerators i.e. GCF of 1505,7998 is 43 .

LCM of Denominators means LCM of 97,464 as per the given fractions.

LCM of 97,464 is 45008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1505,7998

GCF of Fractions 1505/97,7998/464 is 43/45008

43 1505, 7998
35, 186

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 1505,7998 By Matching Biggest Common Factor Method

Greatest Common Factor of 1505,7998 By Matching Biggest Common Factor Method

Factors of 1505

List of positive integer factors of 1505 that divides 1505 without a remainder.

1,5,7,35,43,215,301,1505

Factors of 7998

List of positive integer factors of 7998 that divides 7998 without a remainder.

1,2,3,6,31,43,62,86,93,129,186,258,1333,2666,3999,7998

Greatest Common Factor

We found the factors 1505,7998 . The biggest common factor number is the GCF number.
So the greatest common factor 1505,7998 is 43.

Lets's calculate LCM of 97,464

Given numbers has no common factors except 1. So, there LCM is their product i.e 45008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/45008

Therefore, the GCF of Fractions 1505/97,7998/464 is 43/45008

Least Common Multiple of 97,464 with GCF Formula

Least Common Multiple of 97,464 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 97,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,464) = 1

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

GCF(97,464) x common factors =1 x 1 = 1

LCM(97,464) = ( 97 × 464 ) / 1

LCM(97,464) = 45008 / 1

LCM(97,464) = 45008


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 1505/97, 7998/464

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 1505/97, 7998/464?

Answer: GCF of Numerators as per given numbers 1505/97, 7998/464 is

GCF of Numerators i.e. for 1505,7998 is 43

LCM of denominators i.e. for 97,464 is 45008.

Thus, GCF of Fractions is 43/45008.Finally, GCF of Fractions for 1505/97, 7998/464 is 43/45008.