How to Find GCF of 26/95, 145/88, 899/866?

GCF of 26/95, 145/88, 899/866

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 26/95, 145/88, 899/866 i.e 1/3619880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/95, 145/88, 899/866.

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 26/95,145/88,899/866?

Given fractions are 26/95,145/88,899/866

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 26/95,145/88,899/866, numerators are 26,145,899

Denominators are 95,88,866

The GCF of 26,145,899 is 1 .

LCM of 95,88,866 is 3619880.

The greatest common factor of 26/95,145/88,899/866 = [GCF of 26,145,899]/[LCM of 95,88,866]= 1/3619880

Therefore, the GCF of 26/95,145/88,899/866 is 1/3619880.

Greatest Common Factor of 26,145,899

To find the highest common factor of 26,145,899, we have to find the factors of both numbers and list the highest common factor.

The factors of 26 are 1, 2, 13, 26

The factors of 145 are 1, 5, 29, 145

The factors of 899 are 1, 29, 31, 899

The HCF of 26,145,899 is 1.

Lets's calculate GCF of 26,145,899

Greatest Common Factor (GCF) of 26,145,899 By Common Division

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

Greatest Common Factor of 26,145,899 By Matching Biggest Common Factor Method

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 145

1,5,29,145

Now, list down the factors of 899

1,29,31,899

Greatest Common Factor

We found the factors 26,145,899 . The biggest common factor number is the GCF number.
So the greatest common factor 26,145,899 is 1.

Lets's calculate LCM of 95,88,866

Lowest Common Multiple of 95,88,866 using Common Division

2	95, 88, 866
	95, 44, 433

∴ So the LCM of the given numbers is 2 x 95 x 44 x 433 = 3619880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3619880

Therefore, the GCF of Fractions 26/95,145/88,899/866 is 1/3619880

Least Common Multiple of 95,88,866 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 95,88,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,88,866) = 1

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

GCF(95,88,866) x common factors =1 x 2 = 2

LCM(95,88,866) = ( 95 × 88 × 866 ) / 2

LCM(95,88,866) = 7239760 / 2

LCM(95,88,866) = 3619880

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 26/95, 145/88, 899/866

1. What is the HCF of 26,145,899?

The HCF of 26,145,899 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 26/95, 145/88, 899/866?

Answer: GCF of Numerators as per given numbers 26/95, 145/88, 899/866 is

GCF of Numerators i.e. for 26,145,899 is 1

LCM of denominators i.e. for 95,88,866 is 3619880.

Thus, GCF of Fractions is 1/3619880.Finally, GCF of Fractions for 26/95, 145/88, 899/866 is 1/3619880.