How to Find GCF of 96/28, 863/77, 581/990?

GCF of 96/28, 863/77, 581/990

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 96/28, 863/77, 581/990 i.e 1/13860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/28, 863/77, 581/990.

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 96/28,863/77,581/990?

Given fractions are 96/28,863/77,581/990

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 96/28,863/77,581/990, numerators are 96,863,581

Denominators are 28,77,990

The GCF of 96,863,581 is 1 .

LCM of 28,77,990 is 13860.

The greatest common factor of 96/28,863/77,581/990 = [GCF of 96,863,581]/[LCM of 28,77,990]= 1/13860

Therefore, the GCF of 96/28,863/77,581/990 is 1/13860.

Greatest Common Factor of 96,863,581

To find the highest common factor of 96,863,581, we have to find the factors of both numbers and list the highest common factor.

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 863 are 1, 863

The factors of 581 are 1, 7, 83, 581

The HCF of 96,863,581 is 1.

Lets's calculate GCF of 96,863,581

Greatest Common Factor (GCF) of 96,863,581 By Common Division

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

Greatest Common Factor of 96,863,581 By Matching Biggest Common Factor Method

Now, list down the factors of 96

1,2,3,4,6,8,12,16,24,32,48,96

Now, list down the factors of 863

1,863

Now, list down the factors of 581

1,7,83,581

Greatest Common Factor

We found the factors 96,863,581 . The biggest common factor number is the GCF number.
So the greatest common factor 96,863,581 is 1.

Lets's calculate LCM of 28,77,990

Lowest Common Multiple of 28,77,990 using Common Division

2	28, 77, 990
7	14, 77, 495
11	2, 11, 495
	2, 1, 45

∴ So the LCM of the given numbers is 2 x 7 x 11 x 2 x 1 x 45 = 13860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13860

Therefore, the GCF of Fractions 96/28,863/77,581/990 is 1/13860

Least Common Multiple of 28,77,990 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 28,77,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,77,990) = 1

common factors(in case of two or more numbers have common factors) = 154

GCF(28,77,990) x common factors =1 x 154 = 154

LCM(28,77,990) = ( 28 × 77 × 990 ) / 154

LCM(28,77,990) = 2134440 / 154

LCM(28,77,990) = 13860

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 96/28, 863/77, 581/990

1. What is the HCF of 96,863,581?

The HCF of 96,863,581 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 96/28, 863/77, 581/990?

Answer: GCF of Numerators as per given numbers 96/28, 863/77, 581/990 is

GCF of Numerators i.e. for 96,863,581 is 1

LCM of denominators i.e. for 28,77,990 is 13860.

Thus, GCF of Fractions is 1/13860.Finally, GCF of Fractions for 96/28, 863/77, 581/990 is 1/13860.