Greatest Common Factor of 4955/449, 6335/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4955/449, 6335/817

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 4955/449,6335/817

Given fractions are 4955/449,6335/817

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 4955,6335

Greatest Common Factor of Numerators i.e. GCF of 4955,6335 is 5 .

LCM of Denominators means LCM of 449,817 as per the given fractions.

LCM of 449,817 is 366833 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4955,6335

GCF of Fractions 4955/449,6335/817 is 5/366833

5 4955, 6335
991, 1267

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

Greatest Common Factor of 4955,6335 By Matching Biggest Common Factor Method

Greatest Common Factor of 4955,6335 By Matching Biggest Common Factor Method

Factors of 4955

List of positive integer factors of 4955 that divides 4955 without a remainder.

1,5,991,4955

Factors of 6335

List of positive integer factors of 6335 that divides 6335 without a remainder.

1,5,7,35,181,905,1267,6335

Greatest Common Factor

We found the factors 4955,6335 . The biggest common factor number is the GCF number.
So the greatest common factor 4955,6335 is 5.

Lets's calculate LCM of 449,817

Given numbers has no common factors except 1. So, there LCM is their product i.e 366833

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/366833

Therefore, the GCF of Fractions 4955/449,6335/817 is 5/366833

Least Common Multiple of 449,817 with GCF Formula

Least Common Multiple of 449,817 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 449,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,817) = 1

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

GCF(449,817) x common factors =1 x 1 = 1

LCM(449,817) = ( 449 × 817 ) / 1

LCM(449,817) = 366833 / 1

LCM(449,817) = 366833


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 4955/449, 6335/817

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 4955/449, 6335/817?

Answer: GCF of Numerators as per given numbers 4955/449, 6335/817 is

GCF of Numerators i.e. for 4955,6335 is 5

LCM of denominators i.e. for 449,817 is 366833.

Thus, GCF of Fractions is 5/366833.Finally, GCF of Fractions for 4955/449, 6335/817 is 5/366833.