Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/19,48/33,646/758
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 86,48,646
Greatest Common Factor of Numerators i.e. GCF of 86,48,646 is 2 .
LCM of Denominators means LCM of 19,33,758 as per the given fractions.
LCM of 19,33,758 is 475266 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,48,646
2 | 86, 48, 646 |
43, 24, 323 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 86,48,646 . The biggest common factor number is the GCF number.
So the greatest common factor 86,48,646 is 2.
Lets's calculate LCM of 19,33,758
Given numbers has no common factors except 1. So, there LCM is their product i.e 475266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/475266
Therefore, the GCF of Fractions 86/19,48/33,646/758 is 2/475266
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 19,33,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,33,758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,33,758) x common factors =1 x 1 = 1
LCM(19,33,758) = ( 19 × 33 × 758 ) / 1
LCM(19,33,758) = 475266 / 1
LCM(19,33,758) = 475266
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 86/19, 48/33, 646/758?
Answer: GCF of Numerators as per given numbers 86/19, 48/33, 646/758 is
GCF of Numerators i.e. for 86,48,646 is 2
LCM of denominators i.e. for 19,33,758 is 475266.
Thus, GCF of Fractions is 2/475266.Finally, GCF of Fractions for 86/19, 48/33, 646/758 is 2/475266.