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GCF of 3365/700, 9449/9611

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 3365/700, 9449/9611 i.e 1/961100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3365/700, 9449/9611.

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 3365/700,9449/9611?

Given fractions are 3365/700,9449/9611

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 3365/700,9449/9611, numerators are 3365,9449

Denominators are 700,9611

The GCF of 3365,9449 is 1 .

LCM of 700,9611 is 961100.

The greatest common factor of 3365/700,9449/9611 = [GCF of 3365,9449]/[LCM of 700,9611]= 1/961100

Therefore, the GCF of 3365/700,9449/9611 is 1/961100.

Greatest Common Factor of 3365,9449

To find the highest common factor of 3365,9449, we have to find the factors of both numbers and list the highest common factor.

The factors of 3365 are 1, 5, 673, 3365

The factors of 9449 are 1, 11, 859, 9449

The HCF of 3365,9449 is 1.

Lets's calculate GCF of 3365,9449

Greatest Common Factor (GCF) of 3365,9449 By Common Division

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

Greatest Common Factor of 3365,9449 By Matching Biggest Common Factor Method

Greatest Common Factor of 3365,9449 By Matching Biggest Common Factor Method

Now, list down the factors of 3365

:

1,5,673,3365

Now, list down the factors of 9449

:

1,11,859,9449

Greatest Common Factor

We found the factors 3365,9449 . The biggest common factor number is the GCF number.
So the greatest common factor 3365,9449 is 1.

Lets's calculate LCM of 700,9611

Lowest Common Multiple of 700,9611 using Common Division

7 700, 9611
100, 1373

∴ So the LCM of the given numbers is 7 x 100 x 1373 = 961100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/961100

Therefore, the GCF of Fractions 3365/700,9449/9611 is 1/961100

Least Common Multiple of 700,9611 with GCF Formula

Least Common Multiple of 700,9611 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 700,9611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,9611) = 7

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

GCF(700,9611) x common factors =7 x 1 = 7

LCM(700,9611) = ( 700 × 9611 ) / 7

LCM(700,9611) = 6727700 / 7

LCM(700,9611) = 961100


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3365/700, 9449/9611

1. What is the HCF of 3365,9449?

The HCF of 3365,9449 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 3365/700, 9449/9611?

Answer: GCF of Numerators as per given numbers 3365/700, 9449/9611 is

GCF of Numerators i.e. for 3365,9449 is 1

LCM of denominators i.e. for 700,9611 is 961100.

Thus, GCF of Fractions is 1/961100.Finally, GCF of Fractions for 3365/700, 9449/9611 is 1/961100.