Greatest Common Factor of 71/61, 69/34, 586/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/61, 69/34, 586/770

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 71/61,69/34,586/770

Given fractions are 71/61,69/34,586/770

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 71,69,586

Greatest Common Factor of Numerators i.e. GCF of 71,69,586 is 1 .

LCM of Denominators means LCM of 61,34,770 as per the given fractions.

LCM of 61,34,770 is 798490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,69,586

GCF of Fractions 71/61,69/34,586/770 is 1/798490

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

Greatest Common Factor of 71,69,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,69,586 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 71,69,586 . The biggest common factor number is the GCF number.
So the greatest common factor 71,69,586 is 1.

Lets's calculate LCM of 61,34,770

2 61, 34, 770
61, 17, 385

∴ So the LCM of the given numbers is 2 x 61 x 17 x 385 = 798490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/798490

Therefore, the GCF of Fractions 71/61,69/34,586/770 is 1/798490

Least Common Multiple of 61,34,770 with GCF Formula

Least Common Multiple of 61,34,770 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 61,34,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,34,770) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,34,770) x common factors =1 x 2 = 2

LCM(61,34,770) = ( 61 × 34 × 770 ) / 2

LCM(61,34,770) = 1596980 / 2

LCM(61,34,770) = 798490


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 71/61, 69/34, 586/770

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 71/61, 69/34, 586/770?

Answer: GCF of Numerators as per given numbers 71/61, 69/34, 586/770 is

GCF of Numerators i.e. for 71,69,586 is 1

LCM of denominators i.e. for 61,34,770 is 798490.

Thus, GCF of Fractions is 1/798490.Finally, GCF of Fractions for 71/61, 69/34, 586/770 is 1/798490.