Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 164/28,310/17,748/713
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 164,310,748
Greatest Common Factor of Numerators i.e. GCF of 164,310,748 is 2 .
LCM of Denominators means LCM of 28,17,713 as per the given fractions.
LCM of 28,17,713 is 339388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 164,310,748
2 | 164, 310, 748 |
82, 155, 374 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 164,310,748 . The biggest common factor number is the GCF number.
So the greatest common factor 164,310,748 is 2.
Lets's calculate LCM of 28,17,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 339388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/339388
Therefore, the GCF of Fractions 164/28,310/17,748/713 is 2/339388
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 28,17,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,17,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,17,713) x common factors =1 x 1 = 1
LCM(28,17,713) = ( 28 × 17 × 713 ) / 1
LCM(28,17,713) = 339388 / 1
LCM(28,17,713) = 339388
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 164/28, 310/17, 748/713?
Answer: GCF of Numerators as per given numbers 164/28, 310/17, 748/713 is
GCF of Numerators i.e. for 164,310,748 is 2
LCM of denominators i.e. for 28,17,713 is 339388.
Thus, GCF of Fractions is 2/339388.Finally, GCF of Fractions for 164/28, 310/17, 748/713 is 2/339388.