Greatest Common Factor of 727/51, 670/7620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 727/51, 670/7620

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 727/51,670/7620

Given fractions are 727/51,670/7620

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 727,670

Greatest Common Factor of Numerators i.e. GCF of 727,670 is 1 .

LCM of Denominators means LCM of 51,7620 as per the given fractions.

LCM of 51,7620 is 129540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 727,670

GCF of Fractions 727/51,670/7620 is 1/129540

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

Greatest Common Factor of 727,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,670 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 727,670 . The biggest common factor number is the GCF number.
So the greatest common factor 727,670 is 1.

Lets's calculate LCM of 51,7620

3 51, 7620
17, 2540

∴ So the LCM of the given numbers is 3 x 17 x 2540 = 129540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129540

Therefore, the GCF of Fractions 727/51,670/7620 is 1/129540

Least Common Multiple of 51,7620 with GCF Formula

Least Common Multiple of 51,7620 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 51,7620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,7620) = 3

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

GCF(51,7620) x common factors =3 x 1 = 3

LCM(51,7620) = ( 51 × 7620 ) / 3

LCM(51,7620) = 388620 / 3

LCM(51,7620) = 129540


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 727/51, 670/7620

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 727/51, 670/7620?

Answer: GCF of Numerators as per given numbers 727/51, 670/7620 is

GCF of Numerators i.e. for 727,670 is 1

LCM of denominators i.e. for 51,7620 is 129540.

Thus, GCF of Fractions is 1/129540.Finally, GCF of Fractions for 727/51, 670/7620 is 1/129540.