Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 620/25,976/89,856/284
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 620,976,856
Greatest Common Factor of Numerators i.e. GCF of 620,976,856 is 4 .
LCM of Denominators means LCM of 25,89,284 as per the given fractions.
LCM of 25,89,284 is 631900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 620,976,856
2 | 620, 976, 856 |
2 | 310, 488, 428 |
155, 244, 214 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 620,976,856 . The biggest common factor number is the GCF number.
So the greatest common factor 620,976,856 is 4.
Lets's calculate LCM of 25,89,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 631900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/631900
Therefore, the GCF of Fractions 620/25,976/89,856/284 is 4/631900
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 25,89,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,89,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,89,284) x common factors =1 x 1 = 1
LCM(25,89,284) = ( 25 × 89 × 284 ) / 1
LCM(25,89,284) = 631900 / 1
LCM(25,89,284) = 631900
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 620/25, 976/89, 856/284?
Answer: GCF of Numerators as per given numbers 620/25, 976/89, 856/284 is
GCF of Numerators i.e. for 620,976,856 is 4
LCM of denominators i.e. for 25,89,284 is 631900.
Thus, GCF of Fractions is 4/631900.Finally, GCF of Fractions for 620/25, 976/89, 856/284 is 4/631900.