GCF of 9/12, 54/75, 32/977, 771/887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9/12, 54/75, 32/977, 771/887 i.e 1/259979700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/12, 54/75, 32/977, 771/887.
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 9/12,54/75,32/977,771/887?
Given fractions are 9/12,54/75,32/977,771/887
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 9/12,54/75,32/977,771/887, numerators are 9,54,32,771
Denominators are 12,75,977,887
The GCF of 9,54,32,771 is 1 .
LCM of 12,75,977,887 is 259979700.
The greatest common factor of 9/12,54/75,32/977,771/887 = [GCF of 9,54,32,771]/[LCM of 12,75,977,887]= 1/259979700
Therefore, the GCF of 9/12,54/75,32/977,771/887 is 1/259979700.
To find the highest common factor of 9,54,32,771, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 771 are 1, 3, 257, 771
The HCF of 9,54,32,771 is 1.
Lets's calculate GCF of 9,54,32,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9,54,32,771 By Matching Biggest Common Factor Method
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 771
:1,3,257,771
Greatest Common Factor
We found the factors 9,54,32,771 . The biggest common factor number is the GCF number.
So the greatest common factor 9,54,32,771 is 1.
Lets's calculate LCM of 12,75,977,887
| 3 | 12, 75, 977, 887 |
| 4, 25, 977, 887 |
∴ So the LCM of the given numbers is 3 x 4 x 25 x 977 x 887 = 259979700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259979700
Therefore, the GCF of Fractions 9/12,54/75,32/977,771/887 is 1/259979700
Least Common Multiple of 12,75,977,887 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 12,75,977,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,75,977,887) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(12,75,977,887) x common factors =1 x 3 = 3
LCM(12,75,977,887) = ( 12 × 75 × 977 × 887 ) / 3
LCM(12,75,977,887) = 779939100 / 3
LCM(12,75,977,887) = 259979700
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9/12, 54/75, 32/977, 771/887
1. What is the HCF of 9,54,32,771?
The HCF of 9,54,32,771 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 9/12, 54/75, 32/977, 771/887?
Answer: GCF of Numerators as per given numbers 9/12, 54/75, 32/977, 771/887 is
GCF of Numerators i.e. for 9,54,32,771 is 1
LCM of denominators i.e. for 12,75,977,887 is 259979700.
Thus, GCF of Fractions is 1/259979700.Finally, GCF of Fractions for 9/12, 54/75, 32/977, 771/887 is 1/259979700.