Greatest Common Factor of 169/48, 787/69, 222/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 169/48, 787/69, 222/165

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 169/48,787/69,222/165

Given fractions are 169/48,787/69,222/165

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 169,787,222

Greatest Common Factor of Numerators i.e. GCF of 169,787,222 is 1 .

LCM of Denominators means LCM of 48,69,165 as per the given fractions.

LCM of 48,69,165 is 60720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 169,787,222

GCF of Fractions 169/48,787/69,222/165 is 1/60720

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

Greatest Common Factor of 169,787,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,787,222 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

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 169,787,222 . The biggest common factor number is the GCF number.
So the greatest common factor 169,787,222 is 1.

Lets's calculate LCM of 48,69,165

3 48, 69, 165
16, 23, 55

∴ So the LCM of the given numbers is 3 x 16 x 23 x 55 = 60720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60720

Therefore, the GCF of Fractions 169/48,787/69,222/165 is 1/60720

Least Common Multiple of 48,69,165 with GCF Formula

Least Common Multiple of 48,69,165 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 48,69,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,69,165) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(48,69,165) x common factors =3 x 3 = 9

LCM(48,69,165) = ( 48 × 69 × 165 ) / 9

LCM(48,69,165) = 546480 / 9

LCM(48,69,165) = 60720


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 169/48, 787/69, 222/165

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 169/48, 787/69, 222/165?

Answer: GCF of Numerators as per given numbers 169/48, 787/69, 222/165 is

GCF of Numerators i.e. for 169,787,222 is 1

LCM of denominators i.e. for 48,69,165 is 60720.

Thus, GCF of Fractions is 1/60720.Finally, GCF of Fractions for 169/48, 787/69, 222/165 is 1/60720.