Greatest Common Factor of 4645/710, 9865/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4645/710, 9865/311

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 4645/710,9865/311

Given fractions are 4645/710,9865/311

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 4645,9865

Greatest Common Factor of Numerators i.e. GCF of 4645,9865 is 5 .

LCM of Denominators means LCM of 710,311 as per the given fractions.

LCM of 710,311 is 220810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4645,9865

GCF of Fractions 4645/710,9865/311 is 5/220810

5 4645, 9865
929, 1973

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

Greatest Common Factor of 4645,9865 By Matching Biggest Common Factor Method

Greatest Common Factor of 4645,9865 By Matching Biggest Common Factor Method

Factors of 4645

List of positive integer factors of 4645 that divides 4645 without a remainder.

1,5,929,4645

Factors of 9865

List of positive integer factors of 9865 that divides 9865 without a remainder.

1,5,1973,9865

Greatest Common Factor

We found the factors 4645,9865 . The biggest common factor number is the GCF number.
So the greatest common factor 4645,9865 is 5.

Lets's calculate LCM of 710,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 220810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/220810

Therefore, the GCF of Fractions 4645/710,9865/311 is 5/220810

Least Common Multiple of 710,311 with GCF Formula

Least Common Multiple of 710,311 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 710,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,311) = 1

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

GCF(710,311) x common factors =1 x 1 = 1

LCM(710,311) = ( 710 × 311 ) / 1

LCM(710,311) = 220810 / 1

LCM(710,311) = 220810


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 4645/710, 9865/311

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 4645/710, 9865/311?

Answer: GCF of Numerators as per given numbers 4645/710, 9865/311 is

GCF of Numerators i.e. for 4645,9865 is 5

LCM of denominators i.e. for 710,311 is 220810.

Thus, GCF of Fractions is 5/220810.Finally, GCF of Fractions for 4645/710, 9865/311 is 5/220810.