Greatest Common Factor of 348/705, 588/538, 766/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 348/705, 588/538, 766/605

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 348/705,588/538,766/605

Given fractions are 348/705,588/538,766/605

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 348,588,766

Greatest Common Factor of Numerators i.e. GCF of 348,588,766 is 2 .

LCM of Denominators means LCM of 705,538,605 as per the given fractions.

LCM of 705,538,605 is 45894090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,588,766

GCF of Fractions 348/705,588/538,766/605 is 2/45894090

2 348, 588, 766
174, 294, 383

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 348,588,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,588,766 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 348,588,766 . The biggest common factor number is the GCF number.
So the greatest common factor 348,588,766 is 2.


Lets's calculate LCM of 705,538,605

5 705, 538, 605
141, 538, 121

∴ So the LCM of the given numbers is 5 x 141 x 538 x 121 = 45894090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45894090

Therefore, the GCF of Fractions 348/705,588/538,766/605 is 2/45894090

Least Common Multiple of 705,538,605 with GCF Formula

Least Common Multiple of 705,538,605 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 705,538,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,538,605) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(705,538,605) x common factors =1 x 5 = 5

LCM(705,538,605) = ( 705 × 538 × 605 ) / 5

LCM(705,538,605) = 229470450 / 5

LCM(705,538,605) = 45894090


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 348/705, 588/538, 766/605

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 348/705, 588/538, 766/605?

Answer: GCF of Numerators as per given numbers 348/705, 588/538, 766/605 is

GCF of Numerators i.e. for 348,588,766 is 2

LCM of denominators i.e. for 705,538,605 is 45894090.

Thus, GCF of Fractions is 2/45894090.Finally, GCF of Fractions for 348/705, 588/538, 766/605 is 2/45894090.