Greatest Common Factor of 868/633, 413/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 868/633, 413/470

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 868/633,413/470

Given fractions are 868/633,413/470

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 868,413

Greatest Common Factor of Numerators i.e. GCF of 868,413 is 7 .

LCM of Denominators means LCM of 633,470 as per the given fractions.

LCM of 633,470 is 297510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 868,413

GCF of Fractions 868/633,413/470 is 7/297510

7 868, 413
124, 59

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 868,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,413 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 868,413 . The biggest common factor number is the GCF number.
So the greatest common factor 868,413 is 7.

Lets's calculate LCM of 633,470

Given numbers has no common factors except 1. So, there LCM is their product i.e 297510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/297510

Therefore, the GCF of Fractions 868/633,413/470 is 7/297510

Least Common Multiple of 633,470 with GCF Formula

Least Common Multiple of 633,470 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 633,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,470) = 1

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

GCF(633,470) x common factors =1 x 1 = 1

LCM(633,470) = ( 633 × 470 ) / 1

LCM(633,470) = 297510 / 1

LCM(633,470) = 297510


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 868/633, 413/470

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 868/633, 413/470?

Answer: GCF of Numerators as per given numbers 868/633, 413/470 is

GCF of Numerators i.e. for 868,413 is 7

LCM of denominators i.e. for 633,470 is 297510.

Thus, GCF of Fractions is 7/297510.Finally, GCF of Fractions for 868/633, 413/470 is 7/297510.