How to Find GCF of 40/130, 8607/6747?

GCF of 40/130, 8607/6747

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 40/130, 8607/6747 i.e 1/67470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/130, 8607/6747.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 40/130,8607/6747?

Given fractions are 40/130,8607/6747

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 40/130,8607/6747, numerators are 40,8607

Denominators are 130,6747

The GCF of 40,8607 is 1 .

LCM of 130,6747 is 67470.

The greatest common factor of 40/130,8607/6747 = [GCF of 40,8607]/[LCM of 130,6747]= 1/67470

Therefore, the GCF of 40/130,8607/6747 is 1/67470.

Greatest Common Factor of 40,8607

To find the highest common factor of 40,8607, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607

The HCF of 40,8607 is 1.

Lets's calculate GCF of 40,8607

Greatest Common Factor (GCF) of 40,8607 By Common Division

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

Greatest Common Factor of 40,8607 By Matching Biggest Common Factor Method

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 8607

1,3,19,57,151,453,2869,8607

Greatest Common Factor

We found the factors 40,8607 . The biggest common factor number is the GCF number.
So the greatest common factor 40,8607 is 1.

Lets's calculate LCM of 130,6747

Lowest Common Multiple of 130,6747 using Common Division

13	130, 6747
	10, 519

∴ So the LCM of the given numbers is 13 x 10 x 519 = 67470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67470

Therefore, the GCF of Fractions 40/130,8607/6747 is 1/67470

Least Common Multiple of 130,6747 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 130,6747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,6747) = 13

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

GCF(130,6747) x common factors =13 x 1 = 13

LCM(130,6747) = ( 130 × 6747 ) / 13

LCM(130,6747) = 877110 / 13

LCM(130,6747) = 67470

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 40/130, 8607/6747

1. What is the HCF of 40,8607?

The HCF of 40,8607 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 40/130, 8607/6747?

Answer: GCF of Numerators as per given numbers 40/130, 8607/6747 is

GCF of Numerators i.e. for 40,8607 is 1

LCM of denominators i.e. for 130,6747 is 67470.

Thus, GCF of Fractions is 1/67470.Finally, GCF of Fractions for 40/130, 8607/6747 is 1/67470.