Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 808/416,714/659
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 808,714
Greatest Common Factor of Numerators i.e. GCF of 808,714 is 2 .
LCM of Denominators means LCM of 416,659 as per the given fractions.
LCM of 416,659 is 274144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 808,714
2 | 808, 714 |
404, 357 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 808,714 . The biggest common factor number is the GCF number.
So the greatest common factor 808,714 is 2.
Lets's calculate LCM of 416,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 274144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/274144
Therefore, the GCF of Fractions 808/416,714/659 is 2/274144
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 416,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(416,659) x common factors =1 x 1 = 1
LCM(416,659) = ( 416 × 659 ) / 1
LCM(416,659) = 274144 / 1
LCM(416,659) = 274144
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 808/416, 714/659?
Answer: GCF of Numerators as per given numbers 808/416, 714/659 is
GCF of Numerators i.e. for 808,714 is 2
LCM of denominators i.e. for 416,659 is 274144.
Thus, GCF of Fractions is 2/274144.Finally, GCF of Fractions for 808/416, 714/659 is 2/274144.