Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 562/75,956/64,367/295
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 562,956,367
Greatest Common Factor of Numerators i.e. GCF of 562,956,367 is 1 .
LCM of Denominators means LCM of 75,64,295 as per the given fractions.
LCM of 75,64,295 is 283200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 562,956,367
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Greatest Common Factor
We found the factors 562,956,367 . The biggest common factor number is the GCF number.
So the greatest common factor 562,956,367 is 1.
Lets's calculate LCM of 75,64,295
5 | 75, 64, 295 |
15, 64, 59 |
∴ So the LCM of the given numbers is 5 x 15 x 64 x 59 = 283200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283200
Therefore, the GCF of Fractions 562/75,956/64,367/295 is 1/283200
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 75,64,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,64,295) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(75,64,295) x common factors =1 x 5 = 5
LCM(75,64,295) = ( 75 × 64 × 295 ) / 5
LCM(75,64,295) = 1416000 / 5
LCM(75,64,295) = 283200
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 562/75, 956/64, 367/295?
Answer: GCF of Numerators as per given numbers 562/75, 956/64, 367/295 is
GCF of Numerators i.e. for 562,956,367 is 1
LCM of denominators i.e. for 75,64,295 is 283200.
Thus, GCF of Fractions is 1/283200.Finally, GCF of Fractions for 562/75, 956/64, 367/295 is 1/283200.