Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 599/95,2948/971
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 599,2948
Greatest Common Factor of Numerators i.e. GCF of 599,2948 is 1 .
LCM of Denominators means LCM of 95,971 as per the given fractions.
LCM of 95,971 is 92245 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 599,2948
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 2948
List of positive integer factors of 2948 that divides 2948 without a remainder.
1,2,4,11,22,44,67,134,268,737,1474,2948
Greatest Common Factor
We found the factors 599,2948 . The biggest common factor number is the GCF number.
So the greatest common factor 599,2948 is 1.
Lets's calculate LCM of 95,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 92245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92245
Therefore, the GCF of Fractions 599/95,2948/971 is 1/92245
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 95,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,971) x common factors =1 x 1 = 1
LCM(95,971) = ( 95 × 971 ) / 1
LCM(95,971) = 92245 / 1
LCM(95,971) = 92245
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 599/95, 2948/971?
Answer: GCF of Numerators as per given numbers 599/95, 2948/971 is
GCF of Numerators i.e. for 599,2948 is 1
LCM of denominators i.e. for 95,971 is 92245.
Thus, GCF of Fractions is 1/92245.Finally, GCF of Fractions for 599/95, 2948/971 is 1/92245.