Greatest Common Factor of 627/214, 3709/6484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 627/214, 3709/6484

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 627/214,3709/6484

Given fractions are 627/214,3709/6484

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 627,3709

Greatest Common Factor of Numerators i.e. GCF of 627,3709 is 1 .

LCM of Denominators means LCM of 214,6484 as per the given fractions.

LCM of 214,6484 is 693788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 627,3709

GCF of Fractions 627/214,3709/6484 is 1/693788

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

Greatest Common Factor of 627,3709 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,3709 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 3709

List of positive integer factors of 3709 that divides 3709 without a remainder.

1,3709

Greatest Common Factor

We found the factors 627,3709 . The biggest common factor number is the GCF number.
So the greatest common factor 627,3709 is 1.

Lets's calculate LCM of 214,6484

2 214, 6484
107, 3242

∴ So the LCM of the given numbers is 2 x 107 x 3242 = 693788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/693788

Therefore, the GCF of Fractions 627/214,3709/6484 is 1/693788

Least Common Multiple of 214,6484 with GCF Formula

Least Common Multiple of 214,6484 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 214,6484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,6484) = 2

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

GCF(214,6484) x common factors =2 x 1 = 2

LCM(214,6484) = ( 214 × 6484 ) / 2

LCM(214,6484) = 1387576 / 2

LCM(214,6484) = 693788


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 627/214, 3709/6484

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 627/214, 3709/6484?

Answer: GCF of Numerators as per given numbers 627/214, 3709/6484 is

GCF of Numerators i.e. for 627,3709 is 1

LCM of denominators i.e. for 214,6484 is 693788.

Thus, GCF of Fractions is 1/693788.Finally, GCF of Fractions for 627/214, 3709/6484 is 1/693788.