Greatest Common Factor of 906/21, 709/46, 169/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 906/21, 709/46, 169/549

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 906/21,709/46,169/549

Given fractions are 906/21,709/46,169/549

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 906,709,169

Greatest Common Factor of Numerators i.e. GCF of 906,709,169 is 1 .

LCM of Denominators means LCM of 21,46,549 as per the given fractions.

LCM of 21,46,549 is 176778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 906,709,169

GCF of Fractions 906/21,709/46,169/549 is 1/176778

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

Greatest Common Factor of 906,709,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,709,169 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 169

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

1,13,169

Greatest Common Factor

We found the factors 906,709,169 . The biggest common factor number is the GCF number.
So the greatest common factor 906,709,169 is 1.

Lets's calculate LCM of 21,46,549

3 21, 46, 549
7, 46, 183

∴ So the LCM of the given numbers is 3 x 7 x 46 x 183 = 176778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176778

Therefore, the GCF of Fractions 906/21,709/46,169/549 is 1/176778

Least Common Multiple of 21,46,549 with GCF Formula

Least Common Multiple of 21,46,549 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 21,46,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,46,549) = 1

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

GCF(21,46,549) x common factors =1 x 3 = 3

LCM(21,46,549) = ( 21 × 46 × 549 ) / 3

LCM(21,46,549) = 530334 / 3

LCM(21,46,549) = 176778


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 906/21, 709/46, 169/549

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 906/21, 709/46, 169/549?

Answer: GCF of Numerators as per given numbers 906/21, 709/46, 169/549 is

GCF of Numerators i.e. for 906,709,169 is 1

LCM of denominators i.e. for 21,46,549 is 176778.

Thus, GCF of Fractions is 1/176778.Finally, GCF of Fractions for 906/21, 709/46, 169/549 is 1/176778.