Greatest Common Factor of 4605/82, 8430/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4605/82, 8430/675

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 4605/82,8430/675

Given fractions are 4605/82,8430/675

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 4605,8430

Greatest Common Factor of Numerators i.e. GCF of 4605,8430 is 15 .

LCM of Denominators means LCM of 82,675 as per the given fractions.

LCM of 82,675 is 55350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4605,8430

GCF of Fractions 4605/82,8430/675 is 15/55350

3 4605, 8430
5 1535, 2810
307, 562

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 4605,8430 By Matching Biggest Common Factor Method

Greatest Common Factor of 4605,8430 By Matching Biggest Common Factor Method

Factors of 4605

List of positive integer factors of 4605 that divides 4605 without a remainder.

1,3,5,15,307,921,1535,4605

Factors of 8430

List of positive integer factors of 8430 that divides 8430 without a remainder.

1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430

Greatest Common Factor

We found the factors 4605,8430 . The biggest common factor number is the GCF number.
So the greatest common factor 4605,8430 is 15.

Lets's calculate LCM of 82,675

Given numbers has no common factors except 1. So, there LCM is their product i.e 55350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/55350

Therefore, the GCF of Fractions 4605/82,8430/675 is 15/55350

Least Common Multiple of 82,675 with GCF Formula

Least Common Multiple of 82,675 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 82,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,675) = 1

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

GCF(82,675) x common factors =1 x 1 = 1

LCM(82,675) = ( 82 × 675 ) / 1

LCM(82,675) = 55350 / 1

LCM(82,675) = 55350


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 4605/82, 8430/675

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 4605/82, 8430/675?

Answer: GCF of Numerators as per given numbers 4605/82, 8430/675 is

GCF of Numerators i.e. for 4605,8430 is 15

LCM of denominators i.e. for 82,675 is 55350.

Thus, GCF of Fractions is 15/55350.Finally, GCF of Fractions for 4605/82, 8430/675 is 15/55350.