Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/778,2498/8662
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 246,2498
Greatest Common Factor of Numerators i.e. GCF of 246,2498 is 2 .
LCM of Denominators means LCM of 778,8662 as per the given fractions.
LCM of 778,8662 is 3369518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 246,2498
2 | 246, 2498 |
123, 1249 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 2498
List of positive integer factors of 2498 that divides 2498 without a remainder.
1,2,1249,2498
Greatest Common Factor
We found the factors 246,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 246,2498 is 2.
Lets's calculate LCM of 778,8662
2 | 778, 8662 |
389, 4331 |
∴ So the LCM of the given numbers is 2 x 389 x 4331 = 3369518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3369518
Therefore, the GCF of Fractions 246/778,2498/8662 is 2/3369518
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 778,8662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,8662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,8662) x common factors =2 x 1 = 2
LCM(778,8662) = ( 778 × 8662 ) / 2
LCM(778,8662) = 6739036 / 2
LCM(778,8662) = 3369518
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 246/778, 2498/8662?
Answer: GCF of Numerators as per given numbers 246/778, 2498/8662 is
GCF of Numerators i.e. for 246,2498 is 2
LCM of denominators i.e. for 778,8662 is 3369518.
Thus, GCF of Fractions is 2/3369518.Finally, GCF of Fractions for 246/778, 2498/8662 is 2/3369518.