Greatest Common Factor of 658/41, 1955/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 658/41, 1955/649

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 658/41,1955/649

Given fractions are 658/41,1955/649

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 658,1955

Greatest Common Factor of Numerators i.e. GCF of 658,1955 is 1 .

LCM of Denominators means LCM of 41,649 as per the given fractions.

LCM of 41,649 is 26609 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 658,1955

GCF of Fractions 658/41,1955/649 is 1/26609

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 658,1955 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,1955 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 1955

List of positive integer factors of 1955 that divides 1955 without a remainder.

1,5,17,23,85,115,391,1955

Greatest Common Factor

We found the factors 658,1955 . The biggest common factor number is the GCF number.
So the greatest common factor 658,1955 is 1.

Lets's calculate LCM of 41,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 26609

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26609

Therefore, the GCF of Fractions 658/41,1955/649 is 1/26609

Least Common Multiple of 41,649 with GCF Formula

Least Common Multiple of 41,649 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 41,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,649) = 1

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

GCF(41,649) x common factors =1 x 1 = 1

LCM(41,649) = ( 41 × 649 ) / 1

LCM(41,649) = 26609 / 1

LCM(41,649) = 26609


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 658/41, 1955/649

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 658/41, 1955/649?

Answer: GCF of Numerators as per given numbers 658/41, 1955/649 is

GCF of Numerators i.e. for 658,1955 is 1

LCM of denominators i.e. for 41,649 is 26609.

Thus, GCF of Fractions is 1/26609.Finally, GCF of Fractions for 658/41, 1955/649 is 1/26609.