How to Find GCF of 36/661, 83/928, 632/376?

GCF of 36/661, 83/928, 632/376

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 36/661, 83/928, 632/376 i.e 1/28830176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/661, 83/928, 632/376.

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 36/661,83/928,632/376?

Given fractions are 36/661,83/928,632/376

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 36/661,83/928,632/376, numerators are 36,83,632

Denominators are 661,928,376

The GCF of 36,83,632 is 1 .

LCM of 661,928,376 is 28830176.

The greatest common factor of 36/661,83/928,632/376 = [GCF of 36,83,632]/[LCM of 661,928,376]= 1/28830176

Therefore, the GCF of 36/661,83/928,632/376 is 1/28830176.

Greatest Common Factor of 36,83,632

To find the highest common factor of 36,83,632, we have to find the factors of both numbers and list the highest common factor.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 83 are 1, 83

The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632

The HCF of 36,83,632 is 1.

Lets's calculate GCF of 36,83,632

Greatest Common Factor (GCF) of 36,83,632 By Common Division

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

Greatest Common Factor of 36,83,632 By Matching Biggest Common Factor Method

Now, list down the factors of 36

1,2,3,4,6,9,12,18,36

Now, list down the factors of 83

1,83

Now, list down the factors of 632

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 36,83,632 . The biggest common factor number is the GCF number.
So the greatest common factor 36,83,632 is 1.

Lets's calculate LCM of 661,928,376

Lowest Common Multiple of 661,928,376 using Common Division

2	661, 928, 376
2	661, 464, 188
2	661, 232, 94
	661, 116, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 661 x 116 x 47 = 28830176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28830176

Therefore, the GCF of Fractions 36/661,83/928,632/376 is 1/28830176

Least Common Multiple of 661,928,376 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 661,928,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,928,376) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(661,928,376) x common factors =1 x 8 = 8

LCM(661,928,376) = ( 661 × 928 × 376 ) / 8

LCM(661,928,376) = 230641408 / 8

LCM(661,928,376) = 28830176

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 36/661, 83/928, 632/376

1. What is the HCF of 36,83,632?

The HCF of 36,83,632 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 36/661, 83/928, 632/376?

Answer: GCF of Numerators as per given numbers 36/661, 83/928, 632/376 is

GCF of Numerators i.e. for 36,83,632 is 1

LCM of denominators i.e. for 661,928,376 is 28830176.

Thus, GCF of Fractions is 1/28830176.Finally, GCF of Fractions for 36/661, 83/928, 632/376 is 1/28830176.