Use our free GCF of Fractions Calculator tool to compute the GCF of 20/69, 777/93, 971/177 i.e 1/126201 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/69, 777/93, 971/177.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/69,777/93,971/177
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 20/69,777/93,971/177, numerators are 20,777,971
Denominators are 69,93,177
The GCF of 20,777,971 is 1 .
LCM of 69,93,177 is 126201.
The greatest common factor of 20/69,777/93,971/177 = [GCF of 20,777,971]/[LCM of 69,93,177]= 1/126201
Therefore, the GCF of 20/69,777/93,971/177 is 1/126201.
To find the highest common factor of 20,777,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The factors of 971 are 1, 971
The HCF of 20,777,971 is 1.
Lets's calculate GCF of 20,777,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 20,777,971 . The biggest common factor number is the GCF number.
So the greatest common factor 20,777,971 is 1.
Lets's calculate LCM of 69,93,177
3 | 69, 93, 177 |
23, 31, 59 |
∴ So the LCM of the given numbers is 3 x 23 x 31 x 59 = 126201
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126201
Therefore, the GCF of Fractions 20/69,777/93,971/177 is 1/126201
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 69,93,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,93,177) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(69,93,177) x common factors =3 x 3 = 9
LCM(69,93,177) = ( 69 × 93 × 177 ) / 9
LCM(69,93,177) = 1135809 / 9
LCM(69,93,177) = 126201
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,777,971?
The HCF of 20,777,971 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 20/69, 777/93, 971/177?
Answer: GCF of Numerators as per given numbers 20/69, 777/93, 971/177 is
GCF of Numerators i.e. for 20,777,971 is 1
LCM of denominators i.e. for 69,93,177 is 126201.
Thus, GCF of Fractions is 1/126201.Finally, GCF of Fractions for 20/69, 777/93, 971/177 is 1/126201.