How to Find GCF of 1332/236, 5932/6133?

GCF of 1332/236, 5932/6133

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 1332/236, 5932/6133 i.e 4/1447388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1332/236, 5932/6133.

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 1332/236,5932/6133?

Given fractions are 1332/236,5932/6133

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 1332/236,5932/6133, numerators are 1332,5932

Denominators are 236,6133

The GCF of 1332,5932 is 4 .

LCM of 236,6133 is 1447388.

The greatest common factor of 1332/236,5932/6133 = [GCF of 1332,5932]/[LCM of 236,6133]= 4/1447388

Therefore, the GCF of 1332/236,5932/6133 is 4/1447388.

Greatest Common Factor of 1332,5932

To find the highest common factor of 1332,5932, we have to find the factors of both numbers and list the highest common factor.

The factors of 1332 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332

The factors of 5932 are 1, 2, 4, 1483, 2966, 5932

The HCF of 1332,5932 is 4.

Lets's calculate GCF of 1332,5932

Greatest Common Factor (GCF) of 1332,5932 By Common Division

2	1332, 5932
2	666, 2966
	333, 1483

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1332,5932 By Matching Biggest Common Factor Method

Now, list down the factors of 1332

1,2,3,4,6,9,12,18,36,37,74,111,148,222,333,444,666,1332

Now, list down the factors of 5932

1,2,4,1483,2966,5932

Greatest Common Factor

We found the factors 1332,5932 . The biggest common factor number is the GCF number.
So the greatest common factor 1332,5932 is 4.

Lets's calculate LCM of 236,6133

Lowest Common Multiple of 236,6133 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1447388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1447388

Therefore, the GCF of Fractions 1332/236,5932/6133 is 4/1447388

Least Common Multiple of 236,6133 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 236,6133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,6133) = 1

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

GCF(236,6133) x common factors =1 x 1 = 1

LCM(236,6133) = ( 236 × 6133 ) / 1

LCM(236,6133) = 1447388 / 1

LCM(236,6133) = 1447388

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FAQs on GCF of Fractions of 1332/236, 5932/6133

1. What is the HCF of 1332,5932?

The HCF of 1332,5932 is 4

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 1332/236, 5932/6133?

Answer: GCF of Numerators as per given numbers 1332/236, 5932/6133 is

GCF of Numerators i.e. for 1332,5932 is 4

LCM of denominators i.e. for 236,6133 is 1447388.

Thus, GCF of Fractions is 4/1447388.Finally, GCF of Fractions for 1332/236, 5932/6133 is 4/1447388.