Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9825/961,1050/6553
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 9825,1050
Greatest Common Factor of Numerators i.e. GCF of 9825,1050 is 75 .
LCM of Denominators means LCM of 961,6553 as per the given fractions.
LCM of 961,6553 is 6297433 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9825,1050
3 | 9825, 1050 |
5 | 3275, 350 |
5 | 655, 70 |
131, 14 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Factors of 9825
List of positive integer factors of 9825 that divides 9825 without a remainder.
1,3,5,15,25,75,131,393,655,1965,3275,9825
Factors of 1050
List of positive integer factors of 1050 that divides 1050 without a remainder.
1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050
Greatest Common Factor
We found the factors 9825,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 9825,1050 is 75.
Lets's calculate LCM of 961,6553
Given numbers has no common factors except 1. So, there LCM is their product i.e 6297433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/6297433
Therefore, the GCF of Fractions 9825/961,1050/6553 is 75/6297433
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 961,6553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,6553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,6553) x common factors =1 x 1 = 1
LCM(961,6553) = ( 961 × 6553 ) / 1
LCM(961,6553) = 6297433 / 1
LCM(961,6553) = 6297433
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 9825/961, 1050/6553?
Answer: GCF of Numerators as per given numbers 9825/961, 1050/6553 is
GCF of Numerators i.e. for 9825,1050 is 75
LCM of denominators i.e. for 961,6553 is 6297433.
Thus, GCF of Fractions is 75/6297433.Finally, GCF of Fractions for 9825/961, 1050/6553 is 75/6297433.