GCF of 81/87, 967/51, 440/887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/87, 967/51, 440/887 i.e 1/1311873 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/87, 967/51, 440/887.
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 81/87,967/51,440/887?
Given fractions are 81/87,967/51,440/887
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 81/87,967/51,440/887, numerators are 81,967,440
Denominators are 87,51,887
The GCF of 81,967,440 is 1 .
LCM of 87,51,887 is 1311873.
The greatest common factor of 81/87,967/51,440/887 = [GCF of 81,967,440]/[LCM of 87,51,887]= 1/1311873
Therefore, the GCF of 81/87,967/51,440/887 is 1/1311873.
To find the highest common factor of 81,967,440, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 967 are 1, 967
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The HCF of 81,967,440 is 1.
Lets's calculate GCF of 81,967,440
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,967,440 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 967
:1,967
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 81,967,440 . The biggest common factor number is the GCF number.
So the greatest common factor 81,967,440 is 1.
Lets's calculate LCM of 87,51,887
| 3 | 87, 51, 887 |
| 29, 17, 887 |
∴ So the LCM of the given numbers is 3 x 29 x 17 x 887 = 1311873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1311873
Therefore, the GCF of Fractions 81/87,967/51,440/887 is 1/1311873
Least Common Multiple of 87,51,887 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 87,51,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,51,887) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,51,887) x common factors =1 x 3 = 3
LCM(87,51,887) = ( 87 × 51 × 887 ) / 3
LCM(87,51,887) = 3935619 / 3
LCM(87,51,887) = 1311873
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FAQs on GCF of Fractions of 81/87, 967/51, 440/887
1. What is the HCF of 81,967,440?
The HCF of 81,967,440 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 81/87, 967/51, 440/887?
Answer: GCF of Numerators as per given numbers 81/87, 967/51, 440/887 is
GCF of Numerators i.e. for 81,967,440 is 1
LCM of denominators i.e. for 87,51,887 is 1311873.
Thus, GCF of Fractions is 1/1311873.Finally, GCF of Fractions for 81/87, 967/51, 440/887 is 1/1311873.