Greatest Common Factor of 8965/414, 9232/4850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8965/414, 9232/4850

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 8965/414,9232/4850

Given fractions are 8965/414,9232/4850

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 8965,9232

Greatest Common Factor of Numerators i.e. GCF of 8965,9232 is 1 .

LCM of Denominators means LCM of 414,4850 as per the given fractions.

LCM of 414,4850 is 1003950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8965,9232

GCF of Fractions 8965/414,9232/4850 is 1/1003950

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8965,9232 By Matching Biggest Common Factor Method

Greatest Common Factor of 8965,9232 By Matching Biggest Common Factor Method

Factors of 8965

List of positive integer factors of 8965 that divides 8965 without a remainder.

1,5,11,55,163,815,1793,8965

Factors of 9232

List of positive integer factors of 9232 that divides 9232 without a remainder.

1,2,4,8,16,577,1154,2308,4616,9232

Greatest Common Factor

We found the factors 8965,9232 . The biggest common factor number is the GCF number.
So the greatest common factor 8965,9232 is 1.

Lets's calculate LCM of 414,4850

2 414, 4850
207, 2425

∴ So the LCM of the given numbers is 2 x 207 x 2425 = 1003950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1003950

Therefore, the GCF of Fractions 8965/414,9232/4850 is 1/1003950

Least Common Multiple of 414,4850 with GCF Formula

Least Common Multiple of 414,4850 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 414,4850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,4850) = 2

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

GCF(414,4850) x common factors =2 x 1 = 2

LCM(414,4850) = ( 414 × 4850 ) / 2

LCM(414,4850) = 2007900 / 2

LCM(414,4850) = 1003950


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 8965/414, 9232/4850

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 8965/414, 9232/4850?

Answer: GCF of Numerators as per given numbers 8965/414, 9232/4850 is

GCF of Numerators i.e. for 8965,9232 is 1

LCM of denominators i.e. for 414,4850 is 1003950.

Thus, GCF of Fractions is 1/1003950.Finally, GCF of Fractions for 8965/414, 9232/4850 is 1/1003950.