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GCF of 132/59, 605/802

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 132/59, 605/802 i.e 11/47318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/59, 605/802.

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 132/59,605/802?

Given fractions are 132/59,605/802

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 132/59,605/802, numerators are 132,605

Denominators are 59,802

The GCF of 132,605 is 11 .

LCM of 59,802 is 47318.

The greatest common factor of 132/59,605/802 = [GCF of 132,605]/[LCM of 59,802]= 11/47318

Therefore, the GCF of 132/59,605/802 is 11/47318.

Greatest Common Factor of 132,605

To find the highest common factor of 132,605, we have to find the factors of both numbers and list the highest common factor.

The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The factors of 605 are 1, 5, 11, 55, 121, 605

The HCF of 132,605 is 11.

Lets's calculate GCF of 132,605

Greatest Common Factor (GCF) of 132,605 By Common Division

11 132, 605
12, 55

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 132,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,605 By Matching Biggest Common Factor Method

Now, list down the factors of 132

:

1,2,3,4,6,11,12,22,33,44,66,132

Now, list down the factors of 605

:

1,5,11,55,121,605

Greatest Common Factor

We found the factors 132,605 . The biggest common factor number is the GCF number.
So the greatest common factor 132,605 is 11.

Lets's calculate LCM of 59,802

Lowest Common Multiple of 59,802 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 47318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/47318

Therefore, the GCF of Fractions 132/59,605/802 is 11/47318

Least Common Multiple of 59,802 with GCF Formula

Least Common Multiple of 59,802 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 59,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,802) = 1

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

GCF(59,802) x common factors =1 x 1 = 1

LCM(59,802) = ( 59 × 802 ) / 1

LCM(59,802) = 47318 / 1

LCM(59,802) = 47318


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FAQs on GCF of Fractions of 132/59, 605/802

1. What is the HCF of 132,605?

The HCF of 132,605 is 11

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 132/59, 605/802?

Answer: GCF of Numerators as per given numbers 132/59, 605/802 is

GCF of Numerators i.e. for 132,605 is 11

LCM of denominators i.e. for 59,802 is 47318.

Thus, GCF of Fractions is 11/47318.Finally, GCF of Fractions for 132/59, 605/802 is 11/47318.