Greatest Common Factor of 3014/671, 5299/5602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3014/671, 5299/5602

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 3014/671,5299/5602

Given fractions are 3014/671,5299/5602

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 3014,5299

Greatest Common Factor of Numerators i.e. GCF of 3014,5299 is 1 .

LCM of Denominators means LCM of 671,5602 as per the given fractions.

LCM of 671,5602 is 3758942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3014,5299

GCF of Fractions 3014/671,5299/5602 is 1/3758942

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

Greatest Common Factor of 3014,5299 By Matching Biggest Common Factor Method

Greatest Common Factor of 3014,5299 By Matching Biggest Common Factor Method

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1,2,11,22,137,274,1507,3014

Factors of 5299

List of positive integer factors of 5299 that divides 5299 without a remainder.

1,7,757,5299

Greatest Common Factor

We found the factors 3014,5299 . The biggest common factor number is the GCF number.
So the greatest common factor 3014,5299 is 1.

Lets's calculate LCM of 671,5602

Given numbers has no common factors except 1. So, there LCM is their product i.e 3758942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3758942

Therefore, the GCF of Fractions 3014/671,5299/5602 is 1/3758942

Least Common Multiple of 671,5602 with GCF Formula

Least Common Multiple of 671,5602 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 671,5602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,5602) = 1

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

GCF(671,5602) x common factors =1 x 1 = 1

LCM(671,5602) = ( 671 × 5602 ) / 1

LCM(671,5602) = 3758942 / 1

LCM(671,5602) = 3758942


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 3014/671, 5299/5602

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 3014/671, 5299/5602?

Answer: GCF of Numerators as per given numbers 3014/671, 5299/5602 is

GCF of Numerators i.e. for 3014,5299 is 1

LCM of denominators i.e. for 671,5602 is 3758942.

Thus, GCF of Fractions is 1/3758942.Finally, GCF of Fractions for 3014/671, 5299/5602 is 1/3758942.