Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2860/933,9878/875
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 2860,9878
Greatest Common Factor of Numerators i.e. GCF of 2860,9878 is 22 .
LCM of Denominators means LCM of 933,875 as per the given fractions.
LCM of 933,875 is 816375 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2860,9878
2 | 2860, 9878 |
11 | 1430, 4939 |
130, 449 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Factors of 2860
List of positive integer factors of 2860 that divides 2860 without a remainder.
1,2,4,5,10,11,13,20,22,26,44,52,55,65,110,130,143,220,260,286,572,715,1430,2860
Factors of 9878
List of positive integer factors of 9878 that divides 9878 without a remainder.
1,2,11,22,449,898,4939,9878
Greatest Common Factor
We found the factors 2860,9878 . The biggest common factor number is the GCF number.
So the greatest common factor 2860,9878 is 22.
Lets's calculate LCM of 933,875
Given numbers has no common factors except 1. So, there LCM is their product i.e 816375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/816375
Therefore, the GCF of Fractions 2860/933,9878/875 is 22/816375
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 933,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,875) x common factors =1 x 1 = 1
LCM(933,875) = ( 933 × 875 ) / 1
LCM(933,875) = 816375 / 1
LCM(933,875) = 816375
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 2860/933, 9878/875?
Answer: GCF of Numerators as per given numbers 2860/933, 9878/875 is
GCF of Numerators i.e. for 2860,9878 is 22
LCM of denominators i.e. for 933,875 is 816375.
Thus, GCF of Fractions is 22/816375.Finally, GCF of Fractions for 2860/933, 9878/875 is 22/816375.