Use our free GCF of Fractions Calculator tool to compute the GCF of 20/621, 802/410, 680/281 i.e 2/71545410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/621, 802/410, 680/281.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/621,802/410,680/281
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 20/621,802/410,680/281, numerators are 20,802,680
Denominators are 621,410,281
The GCF of 20,802,680 is 2 .
LCM of 621,410,281 is 71545410.
The greatest common factor of 20/621,802/410,680/281 = [GCF of 20,802,680]/[LCM of 621,410,281]= 2/71545410
Therefore, the GCF of 20/621,802/410,680/281 is 2/71545410.
To find the highest common factor of 20,802,680, 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 802 are 1, 2, 401, 802
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The HCF of 20,802,680 is 2.
Lets's calculate GCF of 20,802,680
2 | 20, 802, 680 |
10, 401, 340 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 802
:1,2,401,802
Now, list down the factors of 680
:1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 20,802,680 . The biggest common factor number is the GCF number.
So the greatest common factor 20,802,680 is 2.
Lets's calculate LCM of 621,410,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 71545410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71545410
Therefore, the GCF of Fractions 20/621,802/410,680/281 is 2/71545410
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 621,410,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,410,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,410,281) x common factors =1 x 1 = 1
LCM(621,410,281) = ( 621 × 410 × 281 ) / 1
LCM(621,410,281) = 71545410 / 1
LCM(621,410,281) = 71545410
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,802,680?
The HCF of 20,802,680 is 2
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 20/621, 802/410, 680/281?
Answer: GCF of Numerators as per given numbers 20/621, 802/410, 680/281 is
GCF of Numerators i.e. for 20,802,680 is 2
LCM of denominators i.e. for 621,410,281 is 71545410.
Thus, GCF of Fractions is 2/71545410.Finally, GCF of Fractions for 20/621, 802/410, 680/281 is 2/71545410.