Greatest Common Factor of 3255/97, 8925/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3255/97, 8925/487

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 3255/97,8925/487

Given fractions are 3255/97,8925/487

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 3255,8925

Greatest Common Factor of Numerators i.e. GCF of 3255,8925 is 105 .

LCM of Denominators means LCM of 97,487 as per the given fractions.

LCM of 97,487 is 47239 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3255,8925

GCF of Fractions 3255/97,8925/487 is 105/47239

3 3255, 8925
5 1085, 2975
7 217, 595
31, 85

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

Greatest Common Factor of 3255,8925 By Matching Biggest Common Factor Method

Greatest Common Factor of 3255,8925 By Matching Biggest Common Factor Method

Factors of 3255

List of positive integer factors of 3255 that divides 3255 without a remainder.

1,3,5,7,15,21,31,35,93,105,155,217,465,651,1085,3255

Factors of 8925

List of positive integer factors of 8925 that divides 8925 without a remainder.

1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925

Greatest Common Factor

We found the factors 3255,8925 . The biggest common factor number is the GCF number.
So the greatest common factor 3255,8925 is 105.

Lets's calculate LCM of 97,487

Given numbers has no common factors except 1. So, there LCM is their product i.e 47239

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 105/47239

Therefore, the GCF of Fractions 3255/97,8925/487 is 105/47239

Least Common Multiple of 97,487 with GCF Formula

Least Common Multiple of 97,487 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 97,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,487) = 1

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

GCF(97,487) x common factors =1 x 1 = 1

LCM(97,487) = ( 97 × 487 ) / 1

LCM(97,487) = 47239 / 1

LCM(97,487) = 47239


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 3255/97, 8925/487

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 3255/97, 8925/487?

Answer: GCF of Numerators as per given numbers 3255/97, 8925/487 is

GCF of Numerators i.e. for 3255,8925 is 105

LCM of denominators i.e. for 97,487 is 47239.

Thus, GCF of Fractions is 105/47239.Finally, GCF of Fractions for 3255/97, 8925/487 is 105/47239.