Greatest Common Factor of 154/20, 497/33, 202/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/20, 497/33, 202/783

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 154/20,497/33,202/783

Given fractions are 154/20,497/33,202/783

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 154,497,202

Greatest Common Factor of Numerators i.e. GCF of 154,497,202 is 1 .

LCM of Denominators means LCM of 20,33,783 as per the given fractions.

LCM of 20,33,783 is 172260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,497,202

GCF of Fractions 154/20,497/33,202/783 is 1/172260

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

Greatest Common Factor of 154,497,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,497,202 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 154,497,202 . The biggest common factor number is the GCF number.
So the greatest common factor 154,497,202 is 1.

Lets's calculate LCM of 20,33,783

3 20, 33, 783
20, 11, 261

∴ So the LCM of the given numbers is 3 x 20 x 11 x 261 = 172260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172260

Therefore, the GCF of Fractions 154/20,497/33,202/783 is 1/172260

Least Common Multiple of 20,33,783 with GCF Formula

Least Common Multiple of 20,33,783 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 20,33,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,33,783) = 1

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

GCF(20,33,783) x common factors =1 x 3 = 3

LCM(20,33,783) = ( 20 × 33 × 783 ) / 3

LCM(20,33,783) = 516780 / 3

LCM(20,33,783) = 172260


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 154/20, 497/33, 202/783

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 154/20, 497/33, 202/783?

Answer: GCF of Numerators as per given numbers 154/20, 497/33, 202/783 is

GCF of Numerators i.e. for 154,497,202 is 1

LCM of denominators i.e. for 20,33,783 is 172260.

Thus, GCF of Fractions is 1/172260.Finally, GCF of Fractions for 154/20, 497/33, 202/783 is 1/172260.