Greatest Common Factor of 709/54, 358/17, 930/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 709/54, 358/17, 930/289

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 709/54,358/17,930/289

Given fractions are 709/54,358/17,930/289

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 709,358,930

Greatest Common Factor of Numerators i.e. GCF of 709,358,930 is 1 .

LCM of Denominators means LCM of 54,17,289 as per the given fractions.

LCM of 54,17,289 is 15606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 709,358,930

GCF of Fractions 709/54,358/17,930/289 is 1/15606

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

Greatest Common Factor of 709,358,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,358,930 By Matching Biggest Common Factor Method

Factors of 709

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

1,709

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 709,358,930 . The biggest common factor number is the GCF number.
So the greatest common factor 709,358,930 is 1.

Lets's calculate LCM of 54,17,289

17 54, 17, 289
54, 1, 17

∴ So the LCM of the given numbers is 17 x 54 x 1 x 17 = 15606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15606

Therefore, the GCF of Fractions 709/54,358/17,930/289 is 1/15606

Least Common Multiple of 54,17,289 with GCF Formula

Least Common Multiple of 54,17,289 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 54,17,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,17,289) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(54,17,289) x common factors =1 x 17 = 17

LCM(54,17,289) = ( 54 × 17 × 289 ) / 17

LCM(54,17,289) = 265302 / 17

LCM(54,17,289) = 15606


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 709/54, 358/17, 930/289

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 709/54, 358/17, 930/289?

Answer: GCF of Numerators as per given numbers 709/54, 358/17, 930/289 is

GCF of Numerators i.e. for 709,358,930 is 1

LCM of denominators i.e. for 54,17,289 is 15606.

Thus, GCF of Fractions is 1/15606.Finally, GCF of Fractions for 709/54, 358/17, 930/289 is 1/15606.