Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5609/870,8554/275
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 5609,8554
Greatest Common Factor of Numerators i.e. GCF of 5609,8554 is 1 .
LCM of Denominators means LCM of 870,275 as per the given fractions.
LCM of 870,275 is 47850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5609,8554
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5609
List of positive integer factors of 5609 that divides 5609 without a remainder.
1,71,79,5609
Factors of 8554
List of positive integer factors of 8554 that divides 8554 without a remainder.
1,2,7,13,14,26,47,91,94,182,329,611,658,1222,4277,8554
Greatest Common Factor
We found the factors 5609,8554 . The biggest common factor number is the GCF number.
So the greatest common factor 5609,8554 is 1.
Lets's calculate LCM of 870,275
5 | 870, 275 |
174, 55 |
∴ So the LCM of the given numbers is 5 x 174 x 55 = 47850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47850
Therefore, the GCF of Fractions 5609/870,8554/275 is 1/47850
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 870,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,275) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(870,275) x common factors =5 x 1 = 5
LCM(870,275) = ( 870 × 275 ) / 5
LCM(870,275) = 239250 / 5
LCM(870,275) = 47850
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 5609/870, 8554/275?
Answer: GCF of Numerators as per given numbers 5609/870, 8554/275 is
GCF of Numerators i.e. for 5609,8554 is 1
LCM of denominators i.e. for 870,275 is 47850.
Thus, GCF of Fractions is 1/47850.Finally, GCF of Fractions for 5609/870, 8554/275 is 1/47850.