Greatest Common Factor of 245/97, 470/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/97, 470/864

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 245/97,470/864

Given fractions are 245/97,470/864

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 245,470

Greatest Common Factor of Numerators i.e. GCF of 245,470 is 5 .

LCM of Denominators means LCM of 97,864 as per the given fractions.

LCM of 97,864 is 83808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,470

GCF of Fractions 245/97,470/864 is 5/83808

5 245, 470
49, 94

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 245,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,470 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 245,470 . The biggest common factor number is the GCF number.
So the greatest common factor 245,470 is 5.

Lets's calculate LCM of 97,864

Given numbers has no common factors except 1. So, there LCM is their product i.e 83808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/83808

Therefore, the GCF of Fractions 245/97,470/864 is 5/83808

Least Common Multiple of 97,864 with GCF Formula

Least Common Multiple of 97,864 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 97,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,864) = 1

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

GCF(97,864) x common factors =1 x 1 = 1

LCM(97,864) = ( 97 × 864 ) / 1

LCM(97,864) = 83808 / 1

LCM(97,864) = 83808


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 245/97, 470/864

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 245/97, 470/864?

Answer: GCF of Numerators as per given numbers 245/97, 470/864 is

GCF of Numerators i.e. for 245,470 is 5

LCM of denominators i.e. for 97,864 is 83808.

Thus, GCF of Fractions is 5/83808.Finally, GCF of Fractions for 245/97, 470/864 is 5/83808.