Greatest Common Factor of 1978/79, 5423/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1978/79, 5423/298

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 1978/79,5423/298

Given fractions are 1978/79,5423/298

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 1978,5423

Greatest Common Factor of Numerators i.e. GCF of 1978,5423 is 1 .

LCM of Denominators means LCM of 79,298 as per the given fractions.

LCM of 79,298 is 23542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1978,5423

GCF of Fractions 1978/79,5423/298 is 1/23542

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

Greatest Common Factor of 1978,5423 By Matching Biggest Common Factor Method

Greatest Common Factor of 1978,5423 By Matching Biggest Common Factor Method

Factors of 1978

List of positive integer factors of 1978 that divides 1978 without a remainder.

1,2,23,43,46,86,989,1978

Factors of 5423

List of positive integer factors of 5423 that divides 5423 without a remainder.

1,11,17,29,187,319,493,5423

Greatest Common Factor

We found the factors 1978,5423 . The biggest common factor number is the GCF number.
So the greatest common factor 1978,5423 is 1.

Lets's calculate LCM of 79,298

Given numbers has no common factors except 1. So, there LCM is their product i.e 23542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23542

Therefore, the GCF of Fractions 1978/79,5423/298 is 1/23542

Least Common Multiple of 79,298 with GCF Formula

Least Common Multiple of 79,298 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 79,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,298) = 1

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

GCF(79,298) x common factors =1 x 1 = 1

LCM(79,298) = ( 79 × 298 ) / 1

LCM(79,298) = 23542 / 1

LCM(79,298) = 23542


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 1978/79, 5423/298

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 1978/79, 5423/298?

Answer: GCF of Numerators as per given numbers 1978/79, 5423/298 is

GCF of Numerators i.e. for 1978,5423 is 1

LCM of denominators i.e. for 79,298 is 23542.

Thus, GCF of Fractions is 1/23542.Finally, GCF of Fractions for 1978/79, 5423/298 is 1/23542.