Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/32,52/85,109/423
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 37,52,109
Greatest Common Factor of Numerators i.e. GCF of 37,52,109 is 1 .
LCM of Denominators means LCM of 32,85,423 as per the given fractions.
LCM of 32,85,423 is 1150560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 37,52,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Greatest Common Factor
We found the factors 37,52,109 . The biggest common factor number is the GCF number.
So the greatest common factor 37,52,109 is 1.
Lets's calculate LCM of 32,85,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 1150560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1150560
Therefore, the GCF of Fractions 37/32,52/85,109/423 is 1/1150560
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 32,85,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,85,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,85,423) x common factors =1 x 1 = 1
LCM(32,85,423) = ( 32 × 85 × 423 ) / 1
LCM(32,85,423) = 1150560 / 1
LCM(32,85,423) = 1150560
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 37/32, 52/85, 109/423?
Answer: GCF of Numerators as per given numbers 37/32, 52/85, 109/423 is
GCF of Numerators i.e. for 37,52,109 is 1
LCM of denominators i.e. for 32,85,423 is 1150560.
Thus, GCF of Fractions is 1/1150560.Finally, GCF of Fractions for 37/32, 52/85, 109/423 is 1/1150560.