Greatest Common Factor of 143/14, 5837/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 143/14, 5837/777

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 143/14,5837/777

Given fractions are 143/14,5837/777

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 143,5837

Greatest Common Factor of Numerators i.e. GCF of 143,5837 is 13 .

LCM of Denominators means LCM of 14,777 as per the given fractions.

LCM of 14,777 is 1554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 143,5837

GCF of Fractions 143/14,5837/777 is 13/1554

13 143, 5837
11, 449

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 143,5837 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,5837 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 5837

List of positive integer factors of 5837 that divides 5837 without a remainder.

1,13,449,5837

Greatest Common Factor

We found the factors 143,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 143,5837 is 13.

Lets's calculate LCM of 14,777

7 14, 777
2, 111

∴ So the LCM of the given numbers is 7 x 2 x 111 = 1554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1554

Therefore, the GCF of Fractions 143/14,5837/777 is 13/1554

Least Common Multiple of 14,777 with GCF Formula

Least Common Multiple of 14,777 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 14,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,777) = 7

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

GCF(14,777) x common factors =7 x 1 = 7

LCM(14,777) = ( 14 × 777 ) / 7

LCM(14,777) = 10878 / 7

LCM(14,777) = 1554


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 143/14, 5837/777

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 143/14, 5837/777?

Answer: GCF of Numerators as per given numbers 143/14, 5837/777 is

GCF of Numerators i.e. for 143,5837 is 13

LCM of denominators i.e. for 14,777 is 1554.

Thus, GCF of Fractions is 13/1554.Finally, GCF of Fractions for 143/14, 5837/777 is 13/1554.