Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9724/62,1931/279
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 9724,1931
Greatest Common Factor of Numerators i.e. GCF of 9724,1931 is 1 .
LCM of Denominators means LCM of 62,279 as per the given fractions.
LCM of 62,279 is 558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9724,1931
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9724
List of positive integer factors of 9724 that divides 9724 without a remainder.
1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724
Factors of 1931
List of positive integer factors of 1931 that divides 1931 without a remainder.
1,1931
Greatest Common Factor
We found the factors 9724,1931 . The biggest common factor number is the GCF number.
So the greatest common factor 9724,1931 is 1.
Lets's calculate LCM of 62,279
31 | 62, 279 |
2, 9 |
∴ So the LCM of the given numbers is 31 x 2 x 9 = 558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/558
Therefore, the GCF of Fractions 9724/62,1931/279 is 1/558
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 62,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,279) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(62,279) x common factors =31 x 1 = 31
LCM(62,279) = ( 62 × 279 ) / 31
LCM(62,279) = 17298 / 31
LCM(62,279) = 558
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 9724/62, 1931/279?
Answer: GCF of Numerators as per given numbers 9724/62, 1931/279 is
GCF of Numerators i.e. for 9724,1931 is 1
LCM of denominators i.e. for 62,279 is 558.
Thus, GCF of Fractions is 1/558.Finally, GCF of Fractions for 9724/62, 1931/279 is 1/558.