Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9175/599,7529/9459
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 9175,7529
Greatest Common Factor of Numerators i.e. GCF of 9175,7529 is 1 .
LCM of Denominators means LCM of 599,9459 as per the given fractions.
LCM of 599,9459 is 5665941 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9175,7529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9175
List of positive integer factors of 9175 that divides 9175 without a remainder.
1,5,25,367,1835,9175
Factors of 7529
List of positive integer factors of 7529 that divides 7529 without a remainder.
1,7529
Greatest Common Factor
We found the factors 9175,7529 . The biggest common factor number is the GCF number.
So the greatest common factor 9175,7529 is 1.
Lets's calculate LCM of 599,9459
Given numbers has no common factors except 1. So, there LCM is their product i.e 5665941
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5665941
Therefore, the GCF of Fractions 9175/599,7529/9459 is 1/5665941
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 599,9459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,9459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,9459) x common factors =1 x 1 = 1
LCM(599,9459) = ( 599 × 9459 ) / 1
LCM(599,9459) = 5665941 / 1
LCM(599,9459) = 5665941
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 9175/599, 7529/9459?
Answer: GCF of Numerators as per given numbers 9175/599, 7529/9459 is
GCF of Numerators i.e. for 9175,7529 is 1
LCM of denominators i.e. for 599,9459 is 5665941.
Thus, GCF of Fractions is 1/5665941.Finally, GCF of Fractions for 9175/599, 7529/9459 is 1/5665941.