Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6141/68,1046/584
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 6141,1046
Greatest Common Factor of Numerators i.e. GCF of 6141,1046 is 1 .
LCM of Denominators means LCM of 68,584 as per the given fractions.
LCM of 68,584 is 9928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6141,1046
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6141
List of positive integer factors of 6141 that divides 6141 without a remainder.
1,3,23,69,89,267,2047,6141
Factors of 1046
List of positive integer factors of 1046 that divides 1046 without a remainder.
1,2,523,1046
Greatest Common Factor
We found the factors 6141,1046 . The biggest common factor number is the GCF number.
So the greatest common factor 6141,1046 is 1.
Lets's calculate LCM of 68,584
2 | 68, 584 |
2 | 34, 292 |
17, 146 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 146 = 9928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9928
Therefore, the GCF of Fractions 6141/68,1046/584 is 1/9928
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 68,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,584) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(68,584) x common factors =4 x 1 = 4
LCM(68,584) = ( 68 × 584 ) / 4
LCM(68,584) = 39712 / 4
LCM(68,584) = 9928
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 6141/68, 1046/584?
Answer: GCF of Numerators as per given numbers 6141/68, 1046/584 is
GCF of Numerators i.e. for 6141,1046 is 1
LCM of denominators i.e. for 68,584 is 9928.
Thus, GCF of Fractions is 1/9928.Finally, GCF of Fractions for 6141/68, 1046/584 is 1/9928.