How to Find GCF of 132/491, 9620/632?

GCF of 132/491, 9620/632

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 132/491, 9620/632 i.e 4/310312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/491, 9620/632.

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 132/491,9620/632?

Given fractions are 132/491,9620/632

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 132/491,9620/632, numerators are 132,9620

Denominators are 491,632

The GCF of 132,9620 is 4 .

LCM of 491,632 is 310312.

The greatest common factor of 132/491,9620/632 = [GCF of 132,9620]/[LCM of 491,632]= 4/310312

Therefore, the GCF of 132/491,9620/632 is 4/310312.

Greatest Common Factor of 132,9620

To find the highest common factor of 132,9620, 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 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620

The HCF of 132,9620 is 4.

Lets's calculate GCF of 132,9620

Greatest Common Factor (GCF) of 132,9620 By Common Division

2	132, 9620
2	66, 4810
	33, 2405

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

Greatest Common Factor of 132,9620 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 9620

1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620

Greatest Common Factor

We found the factors 132,9620 . The biggest common factor number is the GCF number.
So the greatest common factor 132,9620 is 4.

Lets's calculate LCM of 491,632

Lowest Common Multiple of 491,632 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 310312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/310312

Therefore, the GCF of Fractions 132/491,9620/632 is 4/310312

Least Common Multiple of 491,632 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 491,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,632) = 1

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

GCF(491,632) x common factors =1 x 1 = 1

LCM(491,632) = ( 491 × 632 ) / 1

LCM(491,632) = 310312 / 1

LCM(491,632) = 310312

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FAQs on GCF of Fractions of 132/491, 9620/632

1. What is the HCF of 132,9620?

The HCF of 132,9620 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 132/491, 9620/632?

Answer: GCF of Numerators as per given numbers 132/491, 9620/632 is

GCF of Numerators i.e. for 132,9620 is 4

LCM of denominators i.e. for 491,632 is 310312.

Thus, GCF of Fractions is 4/310312.Finally, GCF of Fractions for 132/491, 9620/632 is 4/310312.