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GCF of 909/705, 333/938

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 909/705, 333/938 i.e 9/661290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 909/705, 333/938.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 909/705,333/938?

Given fractions are 909/705,333/938

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 909/705,333/938, numerators are 909,333

Denominators are 705,938

The GCF of 909,333 is 9 .

LCM of 705,938 is 661290.

The greatest common factor of 909/705,333/938 = [GCF of 909,333]/[LCM of 705,938]= 9/661290

Therefore, the GCF of 909/705,333/938 is 9/661290.

Greatest Common Factor of 909,333

To find the highest common factor of 909,333, we have to find the factors of both numbers and list the highest common factor.

The factors of 909 are 1, 3, 9, 101, 303, 909

The factors of 333 are 1, 3, 9, 37, 111, 333

The HCF of 909,333 is 9.

Lets's calculate GCF of 909,333

Greatest Common Factor (GCF) of 909,333 By Common Division

3 909, 333
3 303, 111
101, 37

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 909,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,333 By Matching Biggest Common Factor Method

Now, list down the factors of 909

:

1,3,9,101,303,909

Now, list down the factors of 333

:

1,3,9,37,111,333

Greatest Common Factor

We found the factors 909,333 . The biggest common factor number is the GCF number.
So the greatest common factor 909,333 is 9.

Lets's calculate LCM of 705,938

Lowest Common Multiple of 705,938 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 661290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/661290

Therefore, the GCF of Fractions 909/705,333/938 is 9/661290

Least Common Multiple of 705,938 with GCF Formula

Least Common Multiple of 705,938 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 705,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,938) = 1

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

GCF(705,938) x common factors =1 x 1 = 1

LCM(705,938) = ( 705 × 938 ) / 1

LCM(705,938) = 661290 / 1

LCM(705,938) = 661290


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FAQs on GCF of Fractions of 909/705, 333/938

1. What is the HCF of 909,333?

The HCF of 909,333 is 9

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 909/705, 333/938?

Answer: GCF of Numerators as per given numbers 909/705, 333/938 is

GCF of Numerators i.e. for 909,333 is 9

LCM of denominators i.e. for 705,938 is 661290.

Thus, GCF of Fractions is 9/661290.Finally, GCF of Fractions for 909/705, 333/938 is 9/661290.