Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4962/629,8151/7236
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 4962,8151
Greatest Common Factor of Numerators i.e. GCF of 4962,8151 is 3 .
LCM of Denominators means LCM of 629,7236 as per the given fractions.
LCM of 629,7236 is 4551444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4962,8151
3 | 4962, 8151 |
1654, 2717 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4962
List of positive integer factors of 4962 that divides 4962 without a remainder.
1,2,3,6,827,1654,2481,4962
Factors of 8151
List of positive integer factors of 8151 that divides 8151 without a remainder.
1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151
Greatest Common Factor
We found the factors 4962,8151 . The biggest common factor number is the GCF number.
So the greatest common factor 4962,8151 is 3.
Lets's calculate LCM of 629,7236
Given numbers has no common factors except 1. So, there LCM is their product i.e 4551444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4551444
Therefore, the GCF of Fractions 4962/629,8151/7236 is 3/4551444
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 629,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,7236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,7236) x common factors =1 x 1 = 1
LCM(629,7236) = ( 629 × 7236 ) / 1
LCM(629,7236) = 4551444 / 1
LCM(629,7236) = 4551444
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 4962/629, 8151/7236?
Answer: GCF of Numerators as per given numbers 4962/629, 8151/7236 is
GCF of Numerators i.e. for 4962,8151 is 3
LCM of denominators i.e. for 629,7236 is 4551444.
Thus, GCF of Fractions is 3/4551444.Finally, GCF of Fractions for 4962/629, 8151/7236 is 3/4551444.