Greatest Common Factor of 5143/967, 4978/8574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5143/967, 4978/8574

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 5143/967,4978/8574

Given fractions are 5143/967,4978/8574

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 5143,4978

Greatest Common Factor of Numerators i.e. GCF of 5143,4978 is 1 .

LCM of Denominators means LCM of 967,8574 as per the given fractions.

LCM of 967,8574 is 8291058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5143,4978

GCF of Fractions 5143/967,4978/8574 is 1/8291058

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

Greatest Common Factor of 5143,4978 By Matching Biggest Common Factor Method

Greatest Common Factor of 5143,4978 By Matching Biggest Common Factor Method

Factors of 5143

List of positive integer factors of 5143 that divides 5143 without a remainder.

1,37,139,5143

Factors of 4978

List of positive integer factors of 4978 that divides 4978 without a remainder.

1,2,19,38,131,262,2489,4978

Greatest Common Factor

We found the factors 5143,4978 . The biggest common factor number is the GCF number.
So the greatest common factor 5143,4978 is 1.

Lets's calculate LCM of 967,8574

Given numbers has no common factors except 1. So, there LCM is their product i.e 8291058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8291058

Therefore, the GCF of Fractions 5143/967,4978/8574 is 1/8291058

Least Common Multiple of 967,8574 with GCF Formula

Least Common Multiple of 967,8574 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 967,8574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,8574) = 1

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

GCF(967,8574) x common factors =1 x 1 = 1

LCM(967,8574) = ( 967 × 8574 ) / 1

LCM(967,8574) = 8291058 / 1

LCM(967,8574) = 8291058


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 5143/967, 4978/8574

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 5143/967, 4978/8574?

Answer: GCF of Numerators as per given numbers 5143/967, 4978/8574 is

GCF of Numerators i.e. for 5143,4978 is 1

LCM of denominators i.e. for 967,8574 is 8291058.

Thus, GCF of Fractions is 1/8291058.Finally, GCF of Fractions for 5143/967, 4978/8574 is 1/8291058.