Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6570/887,9885/2294
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 6570,9885
Greatest Common Factor of Numerators i.e. GCF of 6570,9885 is 15 .
LCM of Denominators means LCM of 887,2294 as per the given fractions.
LCM of 887,2294 is 2034778 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6570,9885
3 | 6570, 9885 |
5 | 2190, 3295 |
438, 659 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 6570
List of positive integer factors of 6570 that divides 6570 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570
Factors of 9885
List of positive integer factors of 9885 that divides 9885 without a remainder.
1,3,5,15,659,1977,3295,9885
Greatest Common Factor
We found the factors 6570,9885 . The biggest common factor number is the GCF number.
So the greatest common factor 6570,9885 is 15.
Lets's calculate LCM of 887,2294
Given numbers has no common factors except 1. So, there LCM is their product i.e 2034778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2034778
Therefore, the GCF of Fractions 6570/887,9885/2294 is 15/2034778
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 887,2294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,2294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,2294) x common factors =1 x 1 = 1
LCM(887,2294) = ( 887 × 2294 ) / 1
LCM(887,2294) = 2034778 / 1
LCM(887,2294) = 2034778
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 6570/887, 9885/2294?
Answer: GCF of Numerators as per given numbers 6570/887, 9885/2294 is
GCF of Numerators i.e. for 6570,9885 is 15
LCM of denominators i.e. for 887,2294 is 2034778.
Thus, GCF of Fractions is 15/2034778.Finally, GCF of Fractions for 6570/887, 9885/2294 is 15/2034778.