GCF of 77/57, 831/27, 958/162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 77/57, 831/27, 958/162 i.e 1/3078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/57, 831/27, 958/162.
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 77/57,831/27,958/162?
Given fractions are 77/57,831/27,958/162
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 77/57,831/27,958/162, numerators are 77,831,958
Denominators are 57,27,162
The GCF of 77,831,958 is 1 .
LCM of 57,27,162 is 3078.
The greatest common factor of 77/57,831/27,958/162 = [GCF of 77,831,958]/[LCM of 57,27,162]= 1/3078
Therefore, the GCF of 77/57,831/27,958/162 is 1/3078.
To find the highest common factor of 77,831,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 831 are 1, 3, 277, 831
The factors of 958 are 1, 2, 479, 958
The HCF of 77,831,958 is 1.
Lets's calculate GCF of 77,831,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 77,831,958 By Matching Biggest Common Factor Method
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 831
:1,3,277,831
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 77,831,958 . The biggest common factor number is the GCF number.
So the greatest common factor 77,831,958 is 1.
Lets's calculate LCM of 57,27,162
| 3 | 57, 27, 162 |
| 3 | 19, 9, 54 |
| 3 | 19, 3, 18 |
| 19, 1, 6 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 19 x 1 x 6 = 3078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3078
Therefore, the GCF of Fractions 77/57,831/27,958/162 is 1/3078
Least Common Multiple of 57,27,162 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 57,27,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,27,162) = 3
common factors(in case of two or more numbers have common factors) = 27
GCF(57,27,162) x common factors =3 x 27 = 81
LCM(57,27,162) = ( 57 × 27 × 162 ) / 81
LCM(57,27,162) = 249318 / 81
LCM(57,27,162) = 3078
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FAQs on GCF of Fractions of 77/57, 831/27, 958/162
1. What is the HCF of 77,831,958?
The HCF of 77,831,958 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 77/57, 831/27, 958/162?
Answer: GCF of Numerators as per given numbers 77/57, 831/27, 958/162 is
GCF of Numerators i.e. for 77,831,958 is 1
LCM of denominators i.e. for 57,27,162 is 3078.
Thus, GCF of Fractions is 1/3078.Finally, GCF of Fractions for 77/57, 831/27, 958/162 is 1/3078.