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GCF of 1181/933, 3277/9411

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 1181/933, 3277/9411 i.e 1/2926821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1181/933, 3277/9411.

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 1181/933,3277/9411?

Given fractions are 1181/933,3277/9411

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 1181/933,3277/9411, numerators are 1181,3277

Denominators are 933,9411

The GCF of 1181,3277 is 1 .

LCM of 933,9411 is 2926821.

The greatest common factor of 1181/933,3277/9411 = [GCF of 1181,3277]/[LCM of 933,9411]= 1/2926821

Therefore, the GCF of 1181/933,3277/9411 is 1/2926821.

Greatest Common Factor of 1181,3277

To find the highest common factor of 1181,3277, we have to find the factors of both numbers and list the highest common factor.

The factors of 1181 are 1, 1181

The factors of 3277 are 1, 29, 113, 3277

The HCF of 1181,3277 is 1.

Lets's calculate GCF of 1181,3277

Greatest Common Factor (GCF) of 1181,3277 By Common Division

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

Greatest Common Factor of 1181,3277 By Matching Biggest Common Factor Method

Greatest Common Factor of 1181,3277 By Matching Biggest Common Factor Method

Now, list down the factors of 1181

:

1,1181

Now, list down the factors of 3277

:

1,29,113,3277

Greatest Common Factor

We found the factors 1181,3277 . The biggest common factor number is the GCF number.
So the greatest common factor 1181,3277 is 1.

Lets's calculate LCM of 933,9411

Lowest Common Multiple of 933,9411 using Common Division

3 933, 9411
311, 3137

∴ So the LCM of the given numbers is 3 x 311 x 3137 = 2926821

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2926821

Therefore, the GCF of Fractions 1181/933,3277/9411 is 1/2926821

Least Common Multiple of 933,9411 with GCF Formula

Least Common Multiple of 933,9411 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 933,9411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,9411) = 3

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

GCF(933,9411) x common factors =3 x 1 = 3

LCM(933,9411) = ( 933 × 9411 ) / 3

LCM(933,9411) = 8780463 / 3

LCM(933,9411) = 2926821


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FAQs on GCF of Fractions of 1181/933, 3277/9411

1. What is the HCF of 1181,3277?

The HCF of 1181,3277 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 1181/933, 3277/9411?

Answer: GCF of Numerators as per given numbers 1181/933, 3277/9411 is

GCF of Numerators i.e. for 1181,3277 is 1

LCM of denominators i.e. for 933,9411 is 2926821.

Thus, GCF of Fractions is 1/2926821.Finally, GCF of Fractions for 1181/933, 3277/9411 is 1/2926821.