Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/17,64/42,370/497
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 82,64,370
Greatest Common Factor of Numerators i.e. GCF of 82,64,370 is 2 .
LCM of Denominators means LCM of 17,42,497 as per the given fractions.
LCM of 17,42,497 is 50694 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,64,370
2 | 82, 64, 370 |
41, 32, 185 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 82,64,370 . The biggest common factor number is the GCF number.
So the greatest common factor 82,64,370 is 2.
Lets's calculate LCM of 17,42,497
7 | 17, 42, 497 |
17, 6, 71 |
∴ So the LCM of the given numbers is 7 x 17 x 6 x 71 = 50694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50694
Therefore, the GCF of Fractions 82/17,64/42,370/497 is 2/50694
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 17,42,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,42,497) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(17,42,497) x common factors =1 x 7 = 7
LCM(17,42,497) = ( 17 × 42 × 497 ) / 7
LCM(17,42,497) = 354858 / 7
LCM(17,42,497) = 50694
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 82/17, 64/42, 370/497?
Answer: GCF of Numerators as per given numbers 82/17, 64/42, 370/497 is
GCF of Numerators i.e. for 82,64,370 is 2
LCM of denominators i.e. for 17,42,497 is 50694.
Thus, GCF of Fractions is 2/50694.Finally, GCF of Fractions for 82/17, 64/42, 370/497 is 2/50694.