Greatest Common Factor of 33/247, 459/727, 495/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/247, 459/727, 495/162

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 33/247,459/727,495/162

Given fractions are 33/247,459/727,495/162

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 33,459,495

Greatest Common Factor of Numerators i.e. GCF of 33,459,495 is 3 .

LCM of Denominators means LCM of 247,727,162 as per the given fractions.

LCM of 247,727,162 is 29090178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,459,495

GCF of Fractions 33/247,459/727,495/162 is 3/29090178

3 33, 459, 495
11, 153, 165

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

Greatest Common Factor of 33,459,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,459,495 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 33,459,495 . The biggest common factor number is the GCF number.
So the greatest common factor 33,459,495 is 3.

Lets's calculate LCM of 247,727,162

Given numbers has no common factors except 1. So, there LCM is their product i.e 29090178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29090178

Therefore, the GCF of Fractions 33/247,459/727,495/162 is 3/29090178

Least Common Multiple of 247,727,162 with GCF Formula

Least Common Multiple of 247,727,162 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 247,727,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,727,162) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(247,727,162) x common factors =1 x 1 = 1

LCM(247,727,162) = ( 247 × 727 × 162 ) / 1

LCM(247,727,162) = 29090178 / 1

LCM(247,727,162) = 29090178


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 33/247, 459/727, 495/162

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 33/247, 459/727, 495/162?

Answer: GCF of Numerators as per given numbers 33/247, 459/727, 495/162 is

GCF of Numerators i.e. for 33,459,495 is 3

LCM of denominators i.e. for 247,727,162 is 29090178.

Thus, GCF of Fractions is 3/29090178.Finally, GCF of Fractions for 33/247, 459/727, 495/162 is 3/29090178.