Greatest Common Factor of 835/46, 210/41, 620/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 835/46, 210/41, 620/459

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 835/46,210/41,620/459

Given fractions are 835/46,210/41,620/459

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 835,210,620

Greatest Common Factor of Numerators i.e. GCF of 835,210,620 is 5 .

LCM of Denominators means LCM of 46,41,459 as per the given fractions.

LCM of 46,41,459 is 865674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 835,210,620

GCF of Fractions 835/46,210/41,620/459 is 5/865674

5 835, 210, 620
167, 42, 124

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

Greatest Common Factor of 835,210,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,210,620 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 835,210,620 . The biggest common factor number is the GCF number.
So the greatest common factor 835,210,620 is 5.


Lets's calculate LCM of 46,41,459

Given numbers has no common factors except 1. So, there LCM is their product i.e 865674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/865674

Therefore, the GCF of Fractions 835/46,210/41,620/459 is 5/865674

Least Common Multiple of 46,41,459 with GCF Formula

Least Common Multiple of 46,41,459 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 46,41,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,41,459) = 1

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

GCF(46,41,459) x common factors =1 x 1 = 1

LCM(46,41,459) = ( 46 × 41 × 459 ) / 1

LCM(46,41,459) = 865674 / 1

LCM(46,41,459) = 865674


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 835/46, 210/41, 620/459

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 835/46, 210/41, 620/459?

Answer: GCF of Numerators as per given numbers 835/46, 210/41, 620/459 is

GCF of Numerators i.e. for 835,210,620 is 5

LCM of denominators i.e. for 46,41,459 is 865674.

Thus, GCF of Fractions is 5/865674.Finally, GCF of Fractions for 835/46, 210/41, 620/459 is 5/865674.