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GCF of 9949/809, 3333/634

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 9949/809, 3333/634 i.e 1/512906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9949/809, 3333/634.

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 9949/809,3333/634?

Given fractions are 9949/809,3333/634

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 9949/809,3333/634, numerators are 9949,3333

Denominators are 809,634

The GCF of 9949,3333 is 1 .

LCM of 809,634 is 512906.

The greatest common factor of 9949/809,3333/634 = [GCF of 9949,3333]/[LCM of 809,634]= 1/512906

Therefore, the GCF of 9949/809,3333/634 is 1/512906.

Greatest Common Factor of 9949,3333

To find the highest common factor of 9949,3333, we have to find the factors of both numbers and list the highest common factor.

The factors of 9949 are 1, 9949

The factors of 3333 are 1, 3, 11, 33, 101, 303, 1111, 3333

The HCF of 9949,3333 is 1.

Lets's calculate GCF of 9949,3333

Greatest Common Factor (GCF) of 9949,3333 By Common Division

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

Greatest Common Factor of 9949,3333 By Matching Biggest Common Factor Method

Greatest Common Factor of 9949,3333 By Matching Biggest Common Factor Method

Now, list down the factors of 9949

:

1,9949

Now, list down the factors of 3333

:

1,3,11,33,101,303,1111,3333

Greatest Common Factor

We found the factors 9949,3333 . The biggest common factor number is the GCF number.
So the greatest common factor 9949,3333 is 1.

Lets's calculate LCM of 809,634

Lowest Common Multiple of 809,634 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 512906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512906

Therefore, the GCF of Fractions 9949/809,3333/634 is 1/512906

Least Common Multiple of 809,634 with GCF Formula

Least Common Multiple of 809,634 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 809,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,634) = 1

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

GCF(809,634) x common factors =1 x 1 = 1

LCM(809,634) = ( 809 × 634 ) / 1

LCM(809,634) = 512906 / 1

LCM(809,634) = 512906


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FAQs on GCF of Fractions of 9949/809, 3333/634

1. What is the HCF of 9949,3333?

The HCF of 9949,3333 is 1

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 9949/809, 3333/634?

Answer: GCF of Numerators as per given numbers 9949/809, 3333/634 is

GCF of Numerators i.e. for 9949,3333 is 1

LCM of denominators i.e. for 809,634 is 512906.

Thus, GCF of Fractions is 1/512906.Finally, GCF of Fractions for 9949/809, 3333/634 is 1/512906.