Use our free GCF of Fractions Calculator tool to compute the GCF of 668/202, 870/495 i.e 2/99990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/202, 870/495.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 668/202,870/495
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 668/202,870/495, numerators are 668,870
Denominators are 202,495
The GCF of 668,870 is 2 .
LCM of 202,495 is 99990.
The greatest common factor of 668/202,870/495 = [GCF of 668,870]/[LCM of 202,495]= 2/99990
Therefore, the GCF of 668/202,870/495 is 2/99990.
To find the highest common factor of 668,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 668 are 1, 2, 4, 167, 334, 668
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 668,870 is 2.
Lets's calculate GCF of 668,870
2 | 668, 870 |
334, 435 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 668
:1,2,4,167,334,668
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 668,870 . The biggest common factor number is the GCF number.
So the greatest common factor 668,870 is 2.
Lets's calculate LCM of 202,495
Given numbers has no common factors except 1. So, there LCM is their product i.e 99990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99990
Therefore, the GCF of Fractions 668/202,870/495 is 2/99990
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 202,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,495) x common factors =1 x 1 = 1
LCM(202,495) = ( 202 × 495 ) / 1
LCM(202,495) = 99990 / 1
LCM(202,495) = 99990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 668,870?
The HCF of 668,870 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 668/202, 870/495?
Answer: GCF of Numerators as per given numbers 668/202, 870/495 is
GCF of Numerators i.e. for 668,870 is 2
LCM of denominators i.e. for 202,495 is 99990.
Thus, GCF of Fractions is 2/99990.Finally, GCF of Fractions for 668/202, 870/495 is 2/99990.