Greatest Common Factor of 9805/465, 1415/8523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9805/465, 1415/8523

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 9805/465,1415/8523

Given fractions are 9805/465,1415/8523

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 9805,1415

Greatest Common Factor of Numerators i.e. GCF of 9805,1415 is 5 .

LCM of Denominators means LCM of 465,8523 as per the given fractions.

LCM of 465,8523 is 1321065 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9805,1415

GCF of Fractions 9805/465,1415/8523 is 5/1321065

5 9805, 1415
1961, 283

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

Greatest Common Factor of 9805,1415 By Matching Biggest Common Factor Method

Greatest Common Factor of 9805,1415 By Matching Biggest Common Factor Method

Factors of 9805

List of positive integer factors of 9805 that divides 9805 without a remainder.

1,5,37,53,185,265,1961,9805

Factors of 1415

List of positive integer factors of 1415 that divides 1415 without a remainder.

1,5,283,1415

Greatest Common Factor

We found the factors 9805,1415 . The biggest common factor number is the GCF number.
So the greatest common factor 9805,1415 is 5.

Lets's calculate LCM of 465,8523

3 465, 8523
155, 2841

∴ So the LCM of the given numbers is 3 x 155 x 2841 = 1321065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1321065

Therefore, the GCF of Fractions 9805/465,1415/8523 is 5/1321065

Least Common Multiple of 465,8523 with GCF Formula

Least Common Multiple of 465,8523 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 465,8523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,8523) = 3

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

GCF(465,8523) x common factors =3 x 1 = 3

LCM(465,8523) = ( 465 × 8523 ) / 3

LCM(465,8523) = 3963195 / 3

LCM(465,8523) = 1321065


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 9805/465, 1415/8523

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 9805/465, 1415/8523?

Answer: GCF of Numerators as per given numbers 9805/465, 1415/8523 is

GCF of Numerators i.e. for 9805,1415 is 5

LCM of denominators i.e. for 465,8523 is 1321065.

Thus, GCF of Fractions is 5/1321065.Finally, GCF of Fractions for 9805/465, 1415/8523 is 5/1321065.