Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/34,638/55,712/229
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 39,638,712
Greatest Common Factor of Numerators i.e. GCF of 39,638,712 is 1 .
LCM of Denominators means LCM of 34,55,229 as per the given fractions.
LCM of 34,55,229 is 428230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,638,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 39,638,712 . The biggest common factor number is the GCF number.
So the greatest common factor 39,638,712 is 1.
Lets's calculate LCM of 34,55,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 428230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428230
Therefore, the GCF of Fractions 39/34,638/55,712/229 is 1/428230
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 34,55,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,55,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,55,229) x common factors =1 x 1 = 1
LCM(34,55,229) = ( 34 × 55 × 229 ) / 1
LCM(34,55,229) = 428230 / 1
LCM(34,55,229) = 428230
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 39/34, 638/55, 712/229?
Answer: GCF of Numerators as per given numbers 39/34, 638/55, 712/229 is
GCF of Numerators i.e. for 39,638,712 is 1
LCM of denominators i.e. for 34,55,229 is 428230.
Thus, GCF of Fractions is 1/428230.Finally, GCF of Fractions for 39/34, 638/55, 712/229 is 1/428230.