Greatest Common Factor of 69/84, 523/17, 665/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/84, 523/17, 665/632

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 69/84,523/17,665/632

Given fractions are 69/84,523/17,665/632

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 69,523,665

Greatest Common Factor of Numerators i.e. GCF of 69,523,665 is 1 .

LCM of Denominators means LCM of 84,17,632 as per the given fractions.

LCM of 84,17,632 is 225624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,523,665

GCF of Fractions 69/84,523/17,665/632 is 1/225624

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

Greatest Common Factor of 69,523,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,523,665 By Matching Biggest Common Factor Method

Factors of 69

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

1,3,23,69

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 69,523,665 . The biggest common factor number is the GCF number.
So the greatest common factor 69,523,665 is 1.

Lets's calculate LCM of 84,17,632

2 84, 17, 632
2 42, 17, 316
21, 17, 158

∴ So the LCM of the given numbers is 2 x 2 x 21 x 17 x 158 = 225624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225624

Therefore, the GCF of Fractions 69/84,523/17,665/632 is 1/225624

Least Common Multiple of 84,17,632 with GCF Formula

Least Common Multiple of 84,17,632 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 84,17,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,17,632) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(84,17,632) x common factors =1 x 4 = 4

LCM(84,17,632) = ( 84 × 17 × 632 ) / 4

LCM(84,17,632) = 902496 / 4

LCM(84,17,632) = 225624


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 69/84, 523/17, 665/632

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 69/84, 523/17, 665/632?

Answer: GCF of Numerators as per given numbers 69/84, 523/17, 665/632 is

GCF of Numerators i.e. for 69,523,665 is 1

LCM of denominators i.e. for 84,17,632 is 225624.

Thus, GCF of Fractions is 1/225624.Finally, GCF of Fractions for 69/84, 523/17, 665/632 is 1/225624.