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GCF of 133/360, 3271/382

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 133/360, 3271/382 i.e 1/68760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 133/360, 3271/382.

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 133/360,3271/382?

Given fractions are 133/360,3271/382

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 133/360,3271/382, numerators are 133,3271

Denominators are 360,382

The GCF of 133,3271 is 1 .

LCM of 360,382 is 68760.

The greatest common factor of 133/360,3271/382 = [GCF of 133,3271]/[LCM of 360,382]= 1/68760

Therefore, the GCF of 133/360,3271/382 is 1/68760.

Greatest Common Factor of 133,3271

To find the highest common factor of 133,3271, we have to find the factors of both numbers and list the highest common factor.

The factors of 133 are 1, 7, 19, 133

The factors of 3271 are 1, 3271

The HCF of 133,3271 is 1.

Lets's calculate GCF of 133,3271

Greatest Common Factor (GCF) of 133,3271 By Common Division

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

Greatest Common Factor of 133,3271 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,3271 By Matching Biggest Common Factor Method

Now, list down the factors of 133

:

1,7,19,133

Now, list down the factors of 3271

:

1,3271

Greatest Common Factor

We found the factors 133,3271 . The biggest common factor number is the GCF number.
So the greatest common factor 133,3271 is 1.

Lets's calculate LCM of 360,382

Lowest Common Multiple of 360,382 using Common Division

2 360, 382
180, 191

∴ So the LCM of the given numbers is 2 x 180 x 191 = 68760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68760

Therefore, the GCF of Fractions 133/360,3271/382 is 1/68760

Least Common Multiple of 360,382 with GCF Formula

Least Common Multiple of 360,382 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 360,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,382) = 2

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

GCF(360,382) x common factors =2 x 1 = 2

LCM(360,382) = ( 360 × 382 ) / 2

LCM(360,382) = 137520 / 2

LCM(360,382) = 68760


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FAQs on GCF of Fractions of 133/360, 3271/382

1. What is the HCF of 133,3271?

The HCF of 133,3271 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 133/360, 3271/382?

Answer: GCF of Numerators as per given numbers 133/360, 3271/382 is

GCF of Numerators i.e. for 133,3271 is 1

LCM of denominators i.e. for 360,382 is 68760.

Thus, GCF of Fractions is 1/68760.Finally, GCF of Fractions for 133/360, 3271/382 is 1/68760.