How to Find GCF of 881/270, 900/912?

GCF of 881/270, 900/912

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 881/270, 900/912 i.e 1/41040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 881/270, 900/912.

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 881/270,900/912?

Given fractions are 881/270,900/912

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 881/270,900/912, numerators are 881,900

Denominators are 270,912

The GCF of 881,900 is 1 .

LCM of 270,912 is 41040.

The greatest common factor of 881/270,900/912 = [GCF of 881,900]/[LCM of 270,912]= 1/41040

Therefore, the GCF of 881/270,900/912 is 1/41040.

Greatest Common Factor of 881,900

To find the highest common factor of 881,900, we have to find the factors of both numbers and list the highest common factor.

The factors of 881 are 1, 881

The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

The HCF of 881,900 is 1.

Lets's calculate GCF of 881,900

Greatest Common Factor (GCF) of 881,900 By Common Division

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

Greatest Common Factor of 881,900 By Matching Biggest Common Factor Method

Now, list down the factors of 881

1,881

Now, list down the factors of 900

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 881,900 . The biggest common factor number is the GCF number.
So the greatest common factor 881,900 is 1.

Lets's calculate LCM of 270,912

Lowest Common Multiple of 270,912 using Common Division

2	270, 912
3	135, 456
	45, 152

∴ So the LCM of the given numbers is 2 x 3 x 45 x 152 = 41040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41040

Therefore, the GCF of Fractions 881/270,900/912 is 1/41040

Least Common Multiple of 270,912 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 270,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,912) = 6

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

GCF(270,912) x common factors =6 x 1 = 6

LCM(270,912) = ( 270 × 912 ) / 6

LCM(270,912) = 246240 / 6

LCM(270,912) = 41040

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FAQs on GCF of Fractions of 881/270, 900/912

1. What is the HCF of 881,900?

The HCF of 881,900 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 881/270, 900/912?

Answer: GCF of Numerators as per given numbers 881/270, 900/912 is

GCF of Numerators i.e. for 881,900 is 1

LCM of denominators i.e. for 270,912 is 41040.

Thus, GCF of Fractions is 1/41040.Finally, GCF of Fractions for 881/270, 900/912 is 1/41040.