GCF of 201/78, 206/72, 770/87
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 201/78, 206/72, 770/87 i.e 1/27144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 201/78, 206/72, 770/87.
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 201/78,206/72,770/87?
Given fractions are 201/78,206/72,770/87
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 201/78,206/72,770/87, numerators are 201,206,770
Denominators are 78,72,87
The GCF of 201,206,770 is 1 .
LCM of 78,72,87 is 27144.
The greatest common factor of 201/78,206/72,770/87 = [GCF of 201,206,770]/[LCM of 78,72,87]= 1/27144
Therefore, the GCF of 201/78,206/72,770/87 is 1/27144.
To find the highest common factor of 201,206,770, we have to find the factors of both numbers and list the highest common factor.
The factors of 201 are 1, 3, 67, 201
The factors of 206 are 1, 2, 103, 206
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The HCF of 201,206,770 is 1.
Lets's calculate GCF of 201,206,770
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 201,206,770 By Matching Biggest Common Factor Method
Now, list down the factors of 201
:1,3,67,201
Now, list down the factors of 206
:1,2,103,206
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 201,206,770 . The biggest common factor number is the GCF number.
So the greatest common factor 201,206,770 is 1.
Lets's calculate LCM of 78,72,87
| 2 | 78, 72, 87 |
| 3 | 39, 36, 87 |
| 13, 12, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 12 x 29 = 27144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27144
Therefore, the GCF of Fractions 201/78,206/72,770/87 is 1/27144
Least Common Multiple of 78,72,87 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 78,72,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,72,87) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(78,72,87) x common factors =3 x 6 = 18
LCM(78,72,87) = ( 78 × 72 × 87 ) / 18
LCM(78,72,87) = 488592 / 18
LCM(78,72,87) = 27144
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FAQs on GCF of Fractions of 201/78, 206/72, 770/87
1. What is the HCF of 201,206,770?
The HCF of 201,206,770 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 201/78, 206/72, 770/87?
Answer: GCF of Numerators as per given numbers 201/78, 206/72, 770/87 is
GCF of Numerators i.e. for 201,206,770 is 1
LCM of denominators i.e. for 78,72,87 is 27144.
Thus, GCF of Fractions is 1/27144.Finally, GCF of Fractions for 201/78, 206/72, 770/87 is 1/27144.