Greatest Common Factor of 692/60, 180/86, 588/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 692/60, 180/86, 588/623

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 692/60,180/86,588/623

Given fractions are 692/60,180/86,588/623

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 692,180,588

Greatest Common Factor of Numerators i.e. GCF of 692,180,588 is 4 .

LCM of Denominators means LCM of 60,86,623 as per the given fractions.

LCM of 60,86,623 is 1607340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,180,588

GCF of Fractions 692/60,180/86,588/623 is 4/1607340

2 692, 180, 588
2 346, 90, 294
173, 45, 147

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 692,180,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,180,588 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

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

Greatest Common Factor

We found the factors 692,180,588 . The biggest common factor number is the GCF number.
So the greatest common factor 692,180,588 is 4.

Lets's calculate LCM of 60,86,623

2 60, 86, 623
30, 43, 623

∴ So the LCM of the given numbers is 2 x 30 x 43 x 623 = 1607340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1607340

Therefore, the GCF of Fractions 692/60,180/86,588/623 is 4/1607340

Least Common Multiple of 60,86,623 with GCF Formula

Least Common Multiple of 60,86,623 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 60,86,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,86,623) = 1

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

GCF(60,86,623) x common factors =1 x 2 = 2

LCM(60,86,623) = ( 60 × 86 × 623 ) / 2

LCM(60,86,623) = 3214680 / 2

LCM(60,86,623) = 1607340


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 692/60, 180/86, 588/623

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 692/60, 180/86, 588/623?

Answer: GCF of Numerators as per given numbers 692/60, 180/86, 588/623 is

GCF of Numerators i.e. for 692,180,588 is 4

LCM of denominators i.e. for 60,86,623 is 1607340.

Thus, GCF of Fractions is 4/1607340.Finally, GCF of Fractions for 692/60, 180/86, 588/623 is 4/1607340.