How to Find GCF of 132/37, 726/5267?

GCF of 132/37, 726/5267

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 132/37, 726/5267 i.e 66/194879 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/37, 726/5267.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 132/37,726/5267?

Given fractions are 132/37,726/5267

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 132/37,726/5267, numerators are 132,726

Denominators are 37,5267

The GCF of 132,726 is 66 .

LCM of 37,5267 is 194879.

The greatest common factor of 132/37,726/5267 = [GCF of 132,726]/[LCM of 37,5267]= 66/194879

Therefore, the GCF of 132/37,726/5267 is 66/194879.

Greatest Common Factor of 132,726

To find the highest common factor of 132,726, 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 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The HCF of 132,726 is 66.

Lets's calculate GCF of 132,726

Greatest Common Factor (GCF) of 132,726 By Common Division

2	132, 726
3	66, 363
11	22, 121
	2, 11

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Greatest Common Factor of 132,726 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 726

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 132,726 . The biggest common factor number is the GCF number.
So the greatest common factor 132,726 is 66.

Lets's calculate LCM of 37,5267

Lowest Common Multiple of 37,5267 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 194879

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/194879

Therefore, the GCF of Fractions 132/37,726/5267 is 66/194879

Least Common Multiple of 37,5267 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 37,5267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,5267) = 1

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

GCF(37,5267) x common factors =1 x 1 = 1

LCM(37,5267) = ( 37 × 5267 ) / 1

LCM(37,5267) = 194879 / 1

LCM(37,5267) = 194879

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FAQs on GCF of Fractions of 132/37, 726/5267

1. What is the HCF of 132,726?

The HCF of 132,726 is 66

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 132/37, 726/5267?

Answer: GCF of Numerators as per given numbers 132/37, 726/5267 is

GCF of Numerators i.e. for 132,726 is 66

LCM of denominators i.e. for 37,5267 is 194879.

Thus, GCF of Fractions is 66/194879.Finally, GCF of Fractions for 132/37, 726/5267 is 66/194879.