Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/10,635/89,208/64
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 5,635,208
Greatest Common Factor of Numerators i.e. GCF of 5,635,208 is 1 .
LCM of Denominators means LCM of 10,89,64 as per the given fractions.
LCM of 10,89,64 is 28480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,635,208
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 5,635,208 . The biggest common factor number is the GCF number.
So the greatest common factor 5,635,208 is 1.
Lets's calculate LCM of 10,89,64
2 | 10, 89, 64 |
5, 89, 32 |
∴ So the LCM of the given numbers is 2 x 5 x 89 x 32 = 28480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28480
Therefore, the GCF of Fractions 5/10,635/89,208/64 is 1/28480
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 10,89,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,89,64) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(10,89,64) x common factors =1 x 2 = 2
LCM(10,89,64) = ( 10 × 89 × 64 ) / 2
LCM(10,89,64) = 56960 / 2
LCM(10,89,64) = 28480
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 5/10, 635/89, 208/64?
Answer: GCF of Numerators as per given numbers 5/10, 635/89, 208/64 is
GCF of Numerators i.e. for 5,635,208 is 1
LCM of denominators i.e. for 10,89,64 is 28480.
Thus, GCF of Fractions is 1/28480.Finally, GCF of Fractions for 5/10, 635/89, 208/64 is 1/28480.