Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1065/838,6242/554
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 1065,6242
Greatest Common Factor of Numerators i.e. GCF of 1065,6242 is 1 .
LCM of Denominators means LCM of 838,554 as per the given fractions.
LCM of 838,554 is 232126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1065,6242
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1065
List of positive integer factors of 1065 that divides 1065 without a remainder.
1,3,5,15,71,213,355,1065
Factors of 6242
List of positive integer factors of 6242 that divides 6242 without a remainder.
1,2,3121,6242
Greatest Common Factor
We found the factors 1065,6242 . The biggest common factor number is the GCF number.
So the greatest common factor 1065,6242 is 1.
Lets's calculate LCM of 838,554
2 | 838, 554 |
419, 277 |
∴ So the LCM of the given numbers is 2 x 419 x 277 = 232126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232126
Therefore, the GCF of Fractions 1065/838,6242/554 is 1/232126
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 838,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,554) x common factors =2 x 1 = 2
LCM(838,554) = ( 838 × 554 ) / 2
LCM(838,554) = 464252 / 2
LCM(838,554) = 232126
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 1065/838, 6242/554?
Answer: GCF of Numerators as per given numbers 1065/838, 6242/554 is
GCF of Numerators i.e. for 1065,6242 is 1
LCM of denominators i.e. for 838,554 is 232126.
Thus, GCF of Fractions is 1/232126.Finally, GCF of Fractions for 1065/838, 6242/554 is 1/232126.