Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1509/152,4247/5927
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 1509,4247
Greatest Common Factor of Numerators i.e. GCF of 1509,4247 is 1 .
LCM of Denominators means LCM of 152,5927 as per the given fractions.
LCM of 152,5927 is 900904 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1509,4247
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1509
List of positive integer factors of 1509 that divides 1509 without a remainder.
1,3,503,1509
Factors of 4247
List of positive integer factors of 4247 that divides 4247 without a remainder.
1,31,137,4247
Greatest Common Factor
We found the factors 1509,4247 . The biggest common factor number is the GCF number.
So the greatest common factor 1509,4247 is 1.
Lets's calculate LCM of 152,5927
Given numbers has no common factors except 1. So, there LCM is their product i.e 900904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900904
Therefore, the GCF of Fractions 1509/152,4247/5927 is 1/900904
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 152,5927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,5927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(152,5927) x common factors =1 x 1 = 1
LCM(152,5927) = ( 152 × 5927 ) / 1
LCM(152,5927) = 900904 / 1
LCM(152,5927) = 900904
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 1509/152, 4247/5927?
Answer: GCF of Numerators as per given numbers 1509/152, 4247/5927 is
GCF of Numerators i.e. for 1509,4247 is 1
LCM of denominators i.e. for 152,5927 is 900904.
Thus, GCF of Fractions is 1/900904.Finally, GCF of Fractions for 1509/152, 4247/5927 is 1/900904.