How to Find GCF of 8128/787, 9176/1125?

GCF of 8128/787, 9176/1125

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 8128/787, 9176/1125 i.e 8/885375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8128/787, 9176/1125.

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 8128/787,9176/1125?

Given fractions are 8128/787,9176/1125

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 8128/787,9176/1125, numerators are 8128,9176

Denominators are 787,1125

The GCF of 8128,9176 is 8 .

LCM of 787,1125 is 885375.

The greatest common factor of 8128/787,9176/1125 = [GCF of 8128,9176]/[LCM of 787,1125]= 8/885375

Therefore, the GCF of 8128/787,9176/1125 is 8/885375.

Greatest Common Factor of 8128,9176

To find the highest common factor of 8128,9176, we have to find the factors of both numbers and list the highest common factor.

The factors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128

The factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176

The HCF of 8128,9176 is 8.

Lets's calculate GCF of 8128,9176

Greatest Common Factor (GCF) of 8128,9176 By Common Division

2	8128, 9176
2	4064, 4588
2	2032, 2294
	1016, 1147

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8128,9176 By Matching Biggest Common Factor Method

Now, list down the factors of 8128

1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128

Now, list down the factors of 9176

1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176

Greatest Common Factor

We found the factors 8128,9176 . The biggest common factor number is the GCF number.
So the greatest common factor 8128,9176 is 8.

Lets's calculate LCM of 787,1125

Lowest Common Multiple of 787,1125 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 885375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/885375

Therefore, the GCF of Fractions 8128/787,9176/1125 is 8/885375

Least Common Multiple of 787,1125 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 787,1125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,1125) = 1

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

GCF(787,1125) x common factors =1 x 1 = 1

LCM(787,1125) = ( 787 × 1125 ) / 1

LCM(787,1125) = 885375 / 1

LCM(787,1125) = 885375

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8128/787, 9176/1125

1. What is the HCF of 8128,9176?

The HCF of 8128,9176 is 8

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 8128/787, 9176/1125?

Answer: GCF of Numerators as per given numbers 8128/787, 9176/1125 is

GCF of Numerators i.e. for 8128,9176 is 8

LCM of denominators i.e. for 787,1125 is 885375.

Thus, GCF of Fractions is 8/885375.Finally, GCF of Fractions for 8128/787, 9176/1125 is 8/885375.