Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1253/594,4426/206
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 1253,4426
Greatest Common Factor of Numerators i.e. GCF of 1253,4426 is 1 .
LCM of Denominators means LCM of 594,206 as per the given fractions.
LCM of 594,206 is 61182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1253,4426
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1253
List of positive integer factors of 1253 that divides 1253 without a remainder.
1,7,179,1253
Factors of 4426
List of positive integer factors of 4426 that divides 4426 without a remainder.
1,2,2213,4426
Greatest Common Factor
We found the factors 1253,4426 . The biggest common factor number is the GCF number.
So the greatest common factor 1253,4426 is 1.
Lets's calculate LCM of 594,206
2 | 594, 206 |
297, 103 |
∴ So the LCM of the given numbers is 2 x 297 x 103 = 61182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61182
Therefore, the GCF of Fractions 1253/594,4426/206 is 1/61182
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 594,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(594,206) x common factors =2 x 1 = 2
LCM(594,206) = ( 594 × 206 ) / 2
LCM(594,206) = 122364 / 2
LCM(594,206) = 61182
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 1253/594, 4426/206?
Answer: GCF of Numerators as per given numbers 1253/594, 4426/206 is
GCF of Numerators i.e. for 1253,4426 is 1
LCM of denominators i.e. for 594,206 is 61182.
Thus, GCF of Fractions is 1/61182.Finally, GCF of Fractions for 1253/594, 4426/206 is 1/61182.