Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/85,370/19,414/605
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 848,370,414
Greatest Common Factor of Numerators i.e. GCF of 848,370,414 is 2 .
LCM of Denominators means LCM of 85,19,605 as per the given fractions.
LCM of 85,19,605 is 195415 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 848,370,414
2 | 848, 370, 414 |
424, 185, 207 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 848,370,414 . The biggest common factor number is the GCF number.
So the greatest common factor 848,370,414 is 2.
Lets's calculate LCM of 85,19,605
5 | 85, 19, 605 |
17, 19, 121 |
∴ So the LCM of the given numbers is 5 x 17 x 19 x 121 = 195415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/195415
Therefore, the GCF of Fractions 848/85,370/19,414/605 is 2/195415
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 85,19,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,19,605) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(85,19,605) x common factors =1 x 5 = 5
LCM(85,19,605) = ( 85 × 19 × 605 ) / 5
LCM(85,19,605) = 977075 / 5
LCM(85,19,605) = 195415
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 848/85, 370/19, 414/605?
Answer: GCF of Numerators as per given numbers 848/85, 370/19, 414/605 is
GCF of Numerators i.e. for 848,370,414 is 2
LCM of denominators i.e. for 85,19,605 is 195415.
Thus, GCF of Fractions is 2/195415.Finally, GCF of Fractions for 848/85, 370/19, 414/605 is 2/195415.