Greatest Common Factor of 505/290, 4646/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 505/290, 4646/846

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 505/290,4646/846

Given fractions are 505/290,4646/846

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 505,4646

Greatest Common Factor of Numerators i.e. GCF of 505,4646 is 101 .

LCM of Denominators means LCM of 290,846 as per the given fractions.

LCM of 290,846 is 122670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 505,4646

GCF of Fractions 505/290,4646/846 is 101/122670

101 505, 4646
5, 46

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 505,4646 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,4646 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 4646

List of positive integer factors of 4646 that divides 4646 without a remainder.

1,2,23,46,101,202,2323,4646

Greatest Common Factor

We found the factors 505,4646 . The biggest common factor number is the GCF number.
So the greatest common factor 505,4646 is 101.

Lets's calculate LCM of 290,846

2 290, 846
145, 423

∴ So the LCM of the given numbers is 2 x 145 x 423 = 122670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/122670

Therefore, the GCF of Fractions 505/290,4646/846 is 101/122670

Least Common Multiple of 290,846 with GCF Formula

Least Common Multiple of 290,846 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 290,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,846) = 2

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

GCF(290,846) x common factors =2 x 1 = 2

LCM(290,846) = ( 290 × 846 ) / 2

LCM(290,846) = 245340 / 2

LCM(290,846) = 122670


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 505/290, 4646/846

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 505/290, 4646/846?

Answer: GCF of Numerators as per given numbers 505/290, 4646/846 is

GCF of Numerators i.e. for 505,4646 is 101

LCM of denominators i.e. for 290,846 is 122670.

Thus, GCF of Fractions is 101/122670.Finally, GCF of Fractions for 505/290, 4646/846 is 101/122670.