Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 416/73,824/2656
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 416,824
Greatest Common Factor of Numerators i.e. GCF of 416,824 is 8 .
LCM of Denominators means LCM of 73,2656 as per the given fractions.
LCM of 73,2656 is 193888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 416,824
2 | 416, 824 |
2 | 208, 412 |
2 | 104, 206 |
52, 103 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 416,824 . The biggest common factor number is the GCF number.
So the greatest common factor 416,824 is 8.
Lets's calculate LCM of 73,2656
Given numbers has no common factors except 1. So, there LCM is their product i.e 193888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/193888
Therefore, the GCF of Fractions 416/73,824/2656 is 8/193888
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 73,2656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,2656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,2656) x common factors =1 x 1 = 1
LCM(73,2656) = ( 73 × 2656 ) / 1
LCM(73,2656) = 193888 / 1
LCM(73,2656) = 193888
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 416/73, 824/2656?
Answer: GCF of Numerators as per given numbers 416/73, 824/2656 is
GCF of Numerators i.e. for 416,824 is 8
LCM of denominators i.e. for 73,2656 is 193888.
Thus, GCF of Fractions is 8/193888.Finally, GCF of Fractions for 416/73, 824/2656 is 8/193888.