Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1551/725,9048/6266
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 1551,9048
Greatest Common Factor of Numerators i.e. GCF of 1551,9048 is 3 .
LCM of Denominators means LCM of 725,6266 as per the given fractions.
LCM of 725,6266 is 4542850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1551,9048
3 | 1551, 9048 |
517, 3016 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1551
List of positive integer factors of 1551 that divides 1551 without a remainder.
1,3,11,33,47,141,517,1551
Factors of 9048
List of positive integer factors of 9048 that divides 9048 without a remainder.
1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Greatest Common Factor
We found the factors 1551,9048 . The biggest common factor number is the GCF number.
So the greatest common factor 1551,9048 is 3.
Lets's calculate LCM of 725,6266
Given numbers has no common factors except 1. So, there LCM is their product i.e 4542850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4542850
Therefore, the GCF of Fractions 1551/725,9048/6266 is 3/4542850
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 725,6266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,6266) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,6266) x common factors =1 x 1 = 1
LCM(725,6266) = ( 725 × 6266 ) / 1
LCM(725,6266) = 4542850 / 1
LCM(725,6266) = 4542850
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 1551/725, 9048/6266?
Answer: GCF of Numerators as per given numbers 1551/725, 9048/6266 is
GCF of Numerators i.e. for 1551,9048 is 3
LCM of denominators i.e. for 725,6266 is 4542850.
Thus, GCF of Fractions is 3/4542850.Finally, GCF of Fractions for 1551/725, 9048/6266 is 3/4542850.