Greatest Common Factor of 4019/74, 1480/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4019/74, 1480/344

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 4019/74,1480/344

Given fractions are 4019/74,1480/344

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 4019,1480

Greatest Common Factor of Numerators i.e. GCF of 4019,1480 is 1 .

LCM of Denominators means LCM of 74,344 as per the given fractions.

LCM of 74,344 is 12728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4019,1480

GCF of Fractions 4019/74,1480/344 is 1/12728

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

Greatest Common Factor of 4019,1480 By Matching Biggest Common Factor Method

Greatest Common Factor of 4019,1480 By Matching Biggest Common Factor Method

Factors of 4019

List of positive integer factors of 4019 that divides 4019 without a remainder.

1,4019

Factors of 1480

List of positive integer factors of 1480 that divides 1480 without a remainder.

1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480

Greatest Common Factor

We found the factors 4019,1480 . The biggest common factor number is the GCF number.
So the greatest common factor 4019,1480 is 1.

Lets's calculate LCM of 74,344

2 74, 344
37, 172

∴ So the LCM of the given numbers is 2 x 37 x 172 = 12728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12728

Therefore, the GCF of Fractions 4019/74,1480/344 is 1/12728

Least Common Multiple of 74,344 with GCF Formula

Least Common Multiple of 74,344 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 74,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,344) = 2

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

GCF(74,344) x common factors =2 x 1 = 2

LCM(74,344) = ( 74 × 344 ) / 2

LCM(74,344) = 25456 / 2

LCM(74,344) = 12728


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 4019/74, 1480/344

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 4019/74, 1480/344?

Answer: GCF of Numerators as per given numbers 4019/74, 1480/344 is

GCF of Numerators i.e. for 4019,1480 is 1

LCM of denominators i.e. for 74,344 is 12728.

Thus, GCF of Fractions is 1/12728.Finally, GCF of Fractions for 4019/74, 1480/344 is 1/12728.