Greatest Common Factor of 6/59, 34/46, 69/193, 709/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/59, 34/46, 69/193, 709/891

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 6/59,34/46,69/193,709/891

Given fractions are 6/59,34/46,69/193,709/891

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 6,34,69,709

Greatest Common Factor of Numerators i.e. GCF of 6,34,69,709 is 1 .

LCM of Denominators means LCM of 59,46,193,891 as per the given fractions.

LCM of 59,46,193,891 is 466707582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,34,69,709

GCF of Fractions 6/59,34/46,69/193,709/891 is 1/466707582

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

Greatest Common Factor of 6,34,69,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,34,69,709 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 69

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

1,3,23,69

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 6,34,69,709 . The biggest common factor number is the GCF number.
So the greatest common factor 6,34,69,709 is 1.

Lets's calculate LCM of 59,46,193,891

Given numbers has no common factors except 1. So, there LCM is their product i.e 466707582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/466707582

Therefore, the GCF of Fractions 6/59,34/46,69/193,709/891 is 1/466707582

Least Common Multiple of 59,46,193,891 with GCF Formula

Least Common Multiple of 59,46,193,891 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 59,46,193,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,46,193,891) = 1

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

GCF(59,46,193,891) x common factors =1 x 1 = 1

LCM(59,46,193,891) = ( 59 × 46 × 193 × 891 ) / 1

LCM(59,46,193,891) = 466707582 / 1

LCM(59,46,193,891) = 466707582


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 6/59, 34/46, 69/193, 709/891

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 6/59, 34/46, 69/193, 709/891?

Answer: GCF of Numerators as per given numbers 6/59, 34/46, 69/193, 709/891 is

GCF of Numerators i.e. for 6,34,69,709 is 1

LCM of denominators i.e. for 59,46,193,891 is 466707582.

Thus, GCF of Fractions is 1/466707582.Finally, GCF of Fractions for 6/59, 34/46, 69/193, 709/891 is 1/466707582.