Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 280/810,2357/582
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 280,2357
Greatest Common Factor of Numerators i.e. GCF of 280,2357 is 1 .
LCM of Denominators means LCM of 810,582 as per the given fractions.
LCM of 810,582 is 78570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 280,2357
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 2357
List of positive integer factors of 2357 that divides 2357 without a remainder.
1,2357
Greatest Common Factor
We found the factors 280,2357 . The biggest common factor number is the GCF number.
So the greatest common factor 280,2357 is 1.
Lets's calculate LCM of 810,582
2 | 810, 582 |
3 | 405, 291 |
135, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 135 x 97 = 78570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78570
Therefore, the GCF of Fractions 280/810,2357/582 is 1/78570
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 810,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,582) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(810,582) x common factors =6 x 1 = 6
LCM(810,582) = ( 810 × 582 ) / 6
LCM(810,582) = 471420 / 6
LCM(810,582) = 78570
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 280/810, 2357/582?
Answer: GCF of Numerators as per given numbers 280/810, 2357/582 is
GCF of Numerators i.e. for 280,2357 is 1
LCM of denominators i.e. for 810,582 is 78570.
Thus, GCF of Fractions is 1/78570.Finally, GCF of Fractions for 280/810, 2357/582 is 1/78570.