How to Find GCF of 888/11, 928/769?

GCF of 888/11, 928/769

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 888/11, 928/769 i.e 8/8459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 888/11, 928/769.

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 888/11,928/769?

Given fractions are 888/11,928/769

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 888/11,928/769, numerators are 888,928

Denominators are 11,769

The GCF of 888,928 is 8 .

LCM of 11,769 is 8459.

The greatest common factor of 888/11,928/769 = [GCF of 888,928]/[LCM of 11,769]= 8/8459

Therefore, the GCF of 888/11,928/769 is 8/8459.

Greatest Common Factor of 888,928

To find the highest common factor of 888,928, we have to find the factors of both numbers and list the highest common factor.

The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The HCF of 888,928 is 8.

Lets's calculate GCF of 888,928

Greatest Common Factor (GCF) of 888,928 By Common Division

2	888, 928
2	444, 464
2	222, 232
	111, 116

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

Greatest Common Factor of 888,928 By Matching Biggest Common Factor Method

Now, list down the factors of 888

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Now, list down the factors of 928

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 888,928 . The biggest common factor number is the GCF number.
So the greatest common factor 888,928 is 8.

Lets's calculate LCM of 11,769

Lowest Common Multiple of 11,769 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8459

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/8459

Therefore, the GCF of Fractions 888/11,928/769 is 8/8459

Least Common Multiple of 11,769 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 11,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,769) = 1

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

GCF(11,769) x common factors =1 x 1 = 1

LCM(11,769) = ( 11 × 769 ) / 1

LCM(11,769) = 8459 / 1

LCM(11,769) = 8459

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FAQs on GCF of Fractions of 888/11, 928/769

1. What is the HCF of 888,928?

The HCF of 888,928 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 888/11, 928/769?

Answer: GCF of Numerators as per given numbers 888/11, 928/769 is

GCF of Numerators i.e. for 888,928 is 8

LCM of denominators i.e. for 11,769 is 8459.

Thus, GCF of Fractions is 8/8459.Finally, GCF of Fractions for 888/11, 928/769 is 8/8459.