Greatest Common Factor of 4285/865, 4407/8270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4285/865, 4407/8270

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 4285/865,4407/8270

Given fractions are 4285/865,4407/8270

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 4285,4407

Greatest Common Factor of Numerators i.e. GCF of 4285,4407 is 1 .

LCM of Denominators means LCM of 865,8270 as per the given fractions.

LCM of 865,8270 is 1430710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4285,4407

GCF of Fractions 4285/865,4407/8270 is 1/1430710

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

Greatest Common Factor of 4285,4407 By Matching Biggest Common Factor Method

Greatest Common Factor of 4285,4407 By Matching Biggest Common Factor Method

Factors of 4285

List of positive integer factors of 4285 that divides 4285 without a remainder.

1,5,857,4285

Factors of 4407

List of positive integer factors of 4407 that divides 4407 without a remainder.

1,3,13,39,113,339,1469,4407

Greatest Common Factor

We found the factors 4285,4407 . The biggest common factor number is the GCF number.
So the greatest common factor 4285,4407 is 1.

Lets's calculate LCM of 865,8270

5 865, 8270
173, 1654

∴ So the LCM of the given numbers is 5 x 173 x 1654 = 1430710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1430710

Therefore, the GCF of Fractions 4285/865,4407/8270 is 1/1430710

Least Common Multiple of 865,8270 with GCF Formula

Least Common Multiple of 865,8270 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 865,8270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,8270) = 5

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

GCF(865,8270) x common factors =5 x 1 = 5

LCM(865,8270) = ( 865 × 8270 ) / 5

LCM(865,8270) = 7153550 / 5

LCM(865,8270) = 1430710


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 4285/865, 4407/8270

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 4285/865, 4407/8270?

Answer: GCF of Numerators as per given numbers 4285/865, 4407/8270 is

GCF of Numerators i.e. for 4285,4407 is 1

LCM of denominators i.e. for 865,8270 is 1430710.

Thus, GCF of Fractions is 1/1430710.Finally, GCF of Fractions for 4285/865, 4407/8270 is 1/1430710.