How to Find GCF of 96/75, 76/28, 926/527?

GCF of 96/75, 76/28, 926/527

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 96/75, 76/28, 926/527 i.e 2/1106700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/75, 76/28, 926/527.

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 96/75,76/28,926/527?

Given fractions are 96/75,76/28,926/527

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 96/75,76/28,926/527, numerators are 96,76,926

Denominators are 75,28,527

The GCF of 96,76,926 is 2 .

LCM of 75,28,527 is 1106700.

The greatest common factor of 96/75,76/28,926/527 = [GCF of 96,76,926]/[LCM of 75,28,527]= 2/1106700

Therefore, the GCF of 96/75,76/28,926/527 is 2/1106700.

Greatest Common Factor of 96,76,926

To find the highest common factor of 96,76,926, 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 76 are 1, 2, 4, 19, 38, 76

The factors of 926 are 1, 2, 463, 926

The HCF of 96,76,926 is 2.

Lets's calculate GCF of 96,76,926

Greatest Common Factor (GCF) of 96,76,926 By Common Division

2	96, 76, 926
	48, 38, 463

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

Greatest Common Factor of 96,76,926 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 76

1,2,4,19,38,76

Now, list down the factors of 926

1,2,463,926

Greatest Common Factor

We found the factors 96,76,926 . The biggest common factor number is the GCF number.
So the greatest common factor 96,76,926 is 2.

Lets's calculate LCM of 75,28,527

Lowest Common Multiple of 75,28,527 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1106700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1106700

Therefore, the GCF of Fractions 96/75,76/28,926/527 is 2/1106700

Least Common Multiple of 75,28,527 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 75,28,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,28,527) = 1

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

GCF(75,28,527) x common factors =1 x 1 = 1

LCM(75,28,527) = ( 75 × 28 × 527 ) / 1

LCM(75,28,527) = 1106700 / 1

LCM(75,28,527) = 1106700

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 96/75, 76/28, 926/527

1. What is the HCF of 96,76,926?

The HCF of 96,76,926 is 2

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 96/75, 76/28, 926/527?

Answer: GCF of Numerators as per given numbers 96/75, 76/28, 926/527 is

GCF of Numerators i.e. for 96,76,926 is 2

LCM of denominators i.e. for 75,28,527 is 1106700.

Thus, GCF of Fractions is 2/1106700.Finally, GCF of Fractions for 96/75, 76/28, 926/527 is 2/1106700.