Greatest Common Factor of 69/52, 390/46, 222/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/52, 390/46, 222/635

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 69/52,390/46,222/635

Given fractions are 69/52,390/46,222/635

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 69,390,222

Greatest Common Factor of Numerators i.e. GCF of 69,390,222 is 3 .

LCM of Denominators means LCM of 52,46,635 as per the given fractions.

LCM of 52,46,635 is 759460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,390,222

GCF of Fractions 69/52,390/46,222/635 is 3/759460

3 69, 390, 222
23, 130, 74

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 69,390,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,390,222 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 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 69,390,222 . The biggest common factor number is the GCF number.
So the greatest common factor 69,390,222 is 3.

Lets's calculate LCM of 52,46,635

2 52, 46, 635
26, 23, 635

∴ So the LCM of the given numbers is 2 x 26 x 23 x 635 = 759460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/759460

Therefore, the GCF of Fractions 69/52,390/46,222/635 is 3/759460

Least Common Multiple of 52,46,635 with GCF Formula

Least Common Multiple of 52,46,635 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 52,46,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,46,635) = 1

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

GCF(52,46,635) x common factors =1 x 2 = 2

LCM(52,46,635) = ( 52 × 46 × 635 ) / 2

LCM(52,46,635) = 1518920 / 2

LCM(52,46,635) = 759460


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 69/52, 390/46, 222/635

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 69/52, 390/46, 222/635?

Answer: GCF of Numerators as per given numbers 69/52, 390/46, 222/635 is

GCF of Numerators i.e. for 69,390,222 is 3

LCM of denominators i.e. for 52,46,635 is 759460.

Thus, GCF of Fractions is 3/759460.Finally, GCF of Fractions for 69/52, 390/46, 222/635 is 3/759460.