Greatest Common Factor of 70/255, 29/614, 260/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/255, 29/614, 260/670

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 70/255,29/614,260/670

Given fractions are 70/255,29/614,260/670

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 70,29,260

Greatest Common Factor of Numerators i.e. GCF of 70,29,260 is 1 .

LCM of Denominators means LCM of 255,614,670 as per the given fractions.

LCM of 255,614,670 is 10490190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,29,260

GCF of Fractions 70/255,29/614,260/670 is 1/10490190

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

Greatest Common Factor of 70,29,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,29,260 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 70,29,260 . The biggest common factor number is the GCF number.
So the greatest common factor 70,29,260 is 1.

Lets's calculate LCM of 255,614,670

2 255, 614, 670
5 255, 307, 335
51, 307, 67

∴ So the LCM of the given numbers is 2 x 5 x 51 x 307 x 67 = 10490190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10490190

Therefore, the GCF of Fractions 70/255,29/614,260/670 is 1/10490190

Least Common Multiple of 255,614,670 with GCF Formula

Least Common Multiple of 255,614,670 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 255,614,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,614,670) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(255,614,670) x common factors =1 x 10 = 10

LCM(255,614,670) = ( 255 × 614 × 670 ) / 10

LCM(255,614,670) = 104901900 / 10

LCM(255,614,670) = 10490190


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 70/255, 29/614, 260/670

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 70/255, 29/614, 260/670?

Answer: GCF of Numerators as per given numbers 70/255, 29/614, 260/670 is

GCF of Numerators i.e. for 70,29,260 is 1

LCM of denominators i.e. for 255,614,670 is 10490190.

Thus, GCF of Fractions is 1/10490190.Finally, GCF of Fractions for 70/255, 29/614, 260/670 is 1/10490190.