How to Find GCF of 111/896, 769/521, 903/902?

GCF of 111/896, 769/521, 903/902

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 111/896, 769/521, 903/902 i.e 1/210534016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 111/896, 769/521, 903/902.

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 111/896,769/521,903/902?

Given fractions are 111/896,769/521,903/902

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 111/896,769/521,903/902, numerators are 111,769,903

Denominators are 896,521,902

The GCF of 111,769,903 is 1 .

LCM of 896,521,902 is 210534016.

The greatest common factor of 111/896,769/521,903/902 = [GCF of 111,769,903]/[LCM of 896,521,902]= 1/210534016

Therefore, the GCF of 111/896,769/521,903/902 is 1/210534016.

Greatest Common Factor of 111,769,903

To find the highest common factor of 111,769,903, we have to find the factors of both numbers and list the highest common factor.

The factors of 111 are 1, 3, 37, 111

The factors of 769 are 1, 769

The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903

The HCF of 111,769,903 is 1.

Lets's calculate GCF of 111,769,903

Greatest Common Factor (GCF) of 111,769,903 By Common Division

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

Greatest Common Factor of 111,769,903 By Matching Biggest Common Factor Method

Now, list down the factors of 111

1,3,37,111

Now, list down the factors of 769

1,769

Now, list down the factors of 903

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 111,769,903 . The biggest common factor number is the GCF number.
So the greatest common factor 111,769,903 is 1.

Lets's calculate LCM of 896,521,902

Lowest Common Multiple of 896,521,902 using Common Division

2	896, 521, 902
	448, 521, 451

∴ So the LCM of the given numbers is 2 x 448 x 521 x 451 = 210534016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210534016

Therefore, the GCF of Fractions 111/896,769/521,903/902 is 1/210534016

Least Common Multiple of 896,521,902 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 896,521,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,521,902) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(896,521,902) x common factors =1 x 2 = 2

LCM(896,521,902) = ( 896 × 521 × 902 ) / 2

LCM(896,521,902) = 421068032 / 2

LCM(896,521,902) = 210534016

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 111/896, 769/521, 903/902

1. What is the HCF of 111,769,903?

The HCF of 111,769,903 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 111/896, 769/521, 903/902?

Answer: GCF of Numerators as per given numbers 111/896, 769/521, 903/902 is

GCF of Numerators i.e. for 111,769,903 is 1

LCM of denominators i.e. for 896,521,902 is 210534016.

Thus, GCF of Fractions is 1/210534016.Finally, GCF of Fractions for 111/896, 769/521, 903/902 is 1/210534016.