Greatest Common Factor of 4627/699, 3014/8949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4627/699, 3014/8949

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 4627/699,3014/8949

Given fractions are 4627/699,3014/8949

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 4627,3014

Greatest Common Factor of Numerators i.e. GCF of 4627,3014 is 1 .

LCM of Denominators means LCM of 699,8949 as per the given fractions.

LCM of 699,8949 is 2085117 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4627,3014

GCF of Fractions 4627/699,3014/8949 is 1/2085117

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

Greatest Common Factor of 4627,3014 By Matching Biggest Common Factor Method

Greatest Common Factor of 4627,3014 By Matching Biggest Common Factor Method

Factors of 4627

List of positive integer factors of 4627 that divides 4627 without a remainder.

1,7,661,4627

Factors of 3014

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

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

Greatest Common Factor

We found the factors 4627,3014 . The biggest common factor number is the GCF number.
So the greatest common factor 4627,3014 is 1.

Lets's calculate LCM of 699,8949

3 699, 8949
233, 2983

∴ So the LCM of the given numbers is 3 x 233 x 2983 = 2085117

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2085117

Therefore, the GCF of Fractions 4627/699,3014/8949 is 1/2085117

Least Common Multiple of 699,8949 with GCF Formula

Least Common Multiple of 699,8949 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 699,8949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,8949) = 3

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

GCF(699,8949) x common factors =3 x 1 = 3

LCM(699,8949) = ( 699 × 8949 ) / 3

LCM(699,8949) = 6255351 / 3

LCM(699,8949) = 2085117


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 4627/699, 3014/8949

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 4627/699, 3014/8949?

Answer: GCF of Numerators as per given numbers 4627/699, 3014/8949 is

GCF of Numerators i.e. for 4627,3014 is 1

LCM of denominators i.e. for 699,8949 is 2085117.

Thus, GCF of Fractions is 1/2085117.Finally, GCF of Fractions for 4627/699, 3014/8949 is 1/2085117.