Use our free GCF of Fractions Calculator tool to compute the GCF of 20/271, 70/686, 385/245 i.e 5/929530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/271, 70/686, 385/245.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/271,70/686,385/245
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 20/271,70/686,385/245, numerators are 20,70,385
Denominators are 271,686,245
The GCF of 20,70,385 is 5 .
LCM of 271,686,245 is 929530.
The greatest common factor of 20/271,70/686,385/245 = [GCF of 20,70,385]/[LCM of 271,686,245]= 5/929530
Therefore, the GCF of 20/271,70/686,385/245 is 5/929530.
To find the highest common factor of 20,70,385, 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 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 20,70,385 is 5.
Lets's calculate GCF of 20,70,385
5 | 20, 70, 385 |
4, 14, 77 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 20,70,385 . The biggest common factor number is the GCF number.
So the greatest common factor 20,70,385 is 5.
Lets's calculate LCM of 271,686,245
7 | 271, 686, 245 |
7 | 271, 98, 35 |
271, 14, 5 |
∴ So the LCM of the given numbers is 7 x 7 x 271 x 14 x 5 = 929530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/929530
Therefore, the GCF of Fractions 20/271,70/686,385/245 is 5/929530
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 271,686,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,686,245) = 1
common factors(in case of two or more numbers have common factors) = 49
GCF(271,686,245) x common factors =1 x 49 = 49
LCM(271,686,245) = ( 271 × 686 × 245 ) / 49
LCM(271,686,245) = 45546970 / 49
LCM(271,686,245) = 929530
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,70,385?
The HCF of 20,70,385 is 5
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 20/271, 70/686, 385/245?
Answer: GCF of Numerators as per given numbers 20/271, 70/686, 385/245 is
GCF of Numerators i.e. for 20,70,385 is 5
LCM of denominators i.e. for 271,686,245 is 929530.
Thus, GCF of Fractions is 5/929530.Finally, GCF of Fractions for 20/271, 70/686, 385/245 is 5/929530.