Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/890,121/825,280/759
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 82,121,280
Greatest Common Factor of Numerators i.e. GCF of 82,121,280 is 1 .
LCM of Denominators means LCM of 890,825,759 as per the given fractions.
LCM of 890,825,759 is 3377550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,121,280
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 82,121,280 . The biggest common factor number is the GCF number.
So the greatest common factor 82,121,280 is 1.
Lets's calculate LCM of 890,825,759
3 | 890, 825, 759 |
5 | 890, 275, 253 |
11 | 178, 55, 253 |
178, 5, 23 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 178 x 5 x 23 = 3377550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3377550
Therefore, the GCF of Fractions 82/890,121/825,280/759 is 1/3377550
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 890,825,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,825,759) = 1
common factors(in case of two or more numbers have common factors) = 165
GCF(890,825,759) x common factors =1 x 165 = 165
LCM(890,825,759) = ( 890 × 825 × 759 ) / 165
LCM(890,825,759) = 557295750 / 165
LCM(890,825,759) = 3377550
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 82/890, 121/825, 280/759?
Answer: GCF of Numerators as per given numbers 82/890, 121/825, 280/759 is
GCF of Numerators i.e. for 82,121,280 is 1
LCM of denominators i.e. for 890,825,759 is 3377550.
Thus, GCF of Fractions is 1/3377550.Finally, GCF of Fractions for 82/890, 121/825, 280/759 is 1/3377550.