Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6750/889,8452/845
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 6750,8452
Greatest Common Factor of Numerators i.e. GCF of 6750,8452 is 2 .
LCM of Denominators means LCM of 889,845 as per the given fractions.
LCM of 889,845 is 751205 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6750,8452
2 | 6750, 8452 |
3375, 4226 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6750
List of positive integer factors of 6750 that divides 6750 without a remainder.
1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,125,135,150,225,250,270,375,450,675,750,1125,1350,2250,3375,6750
Factors of 8452
List of positive integer factors of 8452 that divides 8452 without a remainder.
1,2,4,2113,4226,8452
Greatest Common Factor
We found the factors 6750,8452 . The biggest common factor number is the GCF number.
So the greatest common factor 6750,8452 is 2.
Lets's calculate LCM of 889,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 751205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/751205
Therefore, the GCF of Fractions 6750/889,8452/845 is 2/751205
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 889,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,845) x common factors =1 x 1 = 1
LCM(889,845) = ( 889 × 845 ) / 1
LCM(889,845) = 751205 / 1
LCM(889,845) = 751205
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 6750/889, 8452/845?
Answer: GCF of Numerators as per given numbers 6750/889, 8452/845 is
GCF of Numerators i.e. for 6750,8452 is 2
LCM of denominators i.e. for 889,845 is 751205.
Thus, GCF of Fractions is 2/751205.Finally, GCF of Fractions for 6750/889, 8452/845 is 2/751205.