Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/845,6328/808
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 554,6328
Greatest Common Factor of Numerators i.e. GCF of 554,6328 is 2 .
LCM of Denominators means LCM of 845,808 as per the given fractions.
LCM of 845,808 is 682760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 554,6328
2 | 554, 6328 |
277, 3164 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 6328
List of positive integer factors of 6328 that divides 6328 without a remainder.
1,2,4,7,8,14,28,56,113,226,452,791,904,1582,3164,6328
Greatest Common Factor
We found the factors 554,6328 . The biggest common factor number is the GCF number.
So the greatest common factor 554,6328 is 2.
Lets's calculate LCM of 845,808
Given numbers has no common factors except 1. So, there LCM is their product i.e 682760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/682760
Therefore, the GCF of Fractions 554/845,6328/808 is 2/682760
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 845,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,808) x common factors =1 x 1 = 1
LCM(845,808) = ( 845 × 808 ) / 1
LCM(845,808) = 682760 / 1
LCM(845,808) = 682760
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 554/845, 6328/808?
Answer: GCF of Numerators as per given numbers 554/845, 6328/808 is
GCF of Numerators i.e. for 554,6328 is 2
LCM of denominators i.e. for 845,808 is 682760.
Thus, GCF of Fractions is 2/682760.Finally, GCF of Fractions for 554/845, 6328/808 is 2/682760.