Greatest Common Factor of 395/91, 4639/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 395/91, 4639/949

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 395/91,4639/949

Given fractions are 395/91,4639/949

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 395,4639

Greatest Common Factor of Numerators i.e. GCF of 395,4639 is 1 .

LCM of Denominators means LCM of 91,949 as per the given fractions.

LCM of 91,949 is 6643 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 395,4639

GCF of Fractions 395/91,4639/949 is 1/6643

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

Greatest Common Factor of 395,4639 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,4639 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 4639

List of positive integer factors of 4639 that divides 4639 without a remainder.

1,4639

Greatest Common Factor

We found the factors 395,4639 . The biggest common factor number is the GCF number.
So the greatest common factor 395,4639 is 1.

Lets's calculate LCM of 91,949

13 91, 949
7, 73

∴ So the LCM of the given numbers is 13 x 7 x 73 = 6643

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6643

Therefore, the GCF of Fractions 395/91,4639/949 is 1/6643

Least Common Multiple of 91,949 with GCF Formula

Least Common Multiple of 91,949 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 91,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,949) = 13

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

GCF(91,949) x common factors =13 x 1 = 13

LCM(91,949) = ( 91 × 949 ) / 13

LCM(91,949) = 86359 / 13

LCM(91,949) = 6643


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 395/91, 4639/949

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 395/91, 4639/949?

Answer: GCF of Numerators as per given numbers 395/91, 4639/949 is

GCF of Numerators i.e. for 395,4639 is 1

LCM of denominators i.e. for 91,949 is 6643.

Thus, GCF of Fractions is 1/6643.Finally, GCF of Fractions for 395/91, 4639/949 is 1/6643.