Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/224,9182/2588
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 84,9182
Greatest Common Factor of Numerators i.e. GCF of 84,9182 is 2 .
LCM of Denominators means LCM of 224,2588 as per the given fractions.
LCM of 224,2588 is 144928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,9182
2 | 84, 9182 |
42, 4591 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 9182
List of positive integer factors of 9182 that divides 9182 without a remainder.
1,2,4591,9182
Greatest Common Factor
We found the factors 84,9182 . The biggest common factor number is the GCF number.
So the greatest common factor 84,9182 is 2.
Lets's calculate LCM of 224,2588
2 | 224, 2588 |
2 | 112, 1294 |
56, 647 |
∴ So the LCM of the given numbers is 2 x 2 x 56 x 647 = 144928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144928
Therefore, the GCF of Fractions 84/224,9182/2588 is 2/144928
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 224,2588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,2588) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(224,2588) x common factors =4 x 1 = 4
LCM(224,2588) = ( 224 × 2588 ) / 4
LCM(224,2588) = 579712 / 4
LCM(224,2588) = 144928
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 84/224, 9182/2588?
Answer: GCF of Numerators as per given numbers 84/224, 9182/2588 is
GCF of Numerators i.e. for 84,9182 is 2
LCM of denominators i.e. for 224,2588 is 144928.
Thus, GCF of Fractions is 2/144928.Finally, GCF of Fractions for 84/224, 9182/2588 is 2/144928.