Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7888/527,2538/229
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 7888,2538
Greatest Common Factor of Numerators i.e. GCF of 7888,2538 is 2 .
LCM of Denominators means LCM of 527,229 as per the given fractions.
LCM of 527,229 is 120683 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7888,2538
2 | 7888, 2538 |
3944, 1269 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7888
List of positive integer factors of 7888 that divides 7888 without a remainder.
1,2,4,8,16,17,29,34,58,68,116,136,232,272,464,493,986,1972,3944,7888
Factors of 2538
List of positive integer factors of 2538 that divides 2538 without a remainder.
1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538
Greatest Common Factor
We found the factors 7888,2538 . The biggest common factor number is the GCF number.
So the greatest common factor 7888,2538 is 2.
Lets's calculate LCM of 527,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 120683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120683
Therefore, the GCF of Fractions 7888/527,2538/229 is 2/120683
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 527,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,229) x common factors =1 x 1 = 1
LCM(527,229) = ( 527 × 229 ) / 1
LCM(527,229) = 120683 / 1
LCM(527,229) = 120683
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 7888/527, 2538/229?
Answer: GCF of Numerators as per given numbers 7888/527, 2538/229 is
GCF of Numerators i.e. for 7888,2538 is 2
LCM of denominators i.e. for 527,229 is 120683.
Thus, GCF of Fractions is 2/120683.Finally, GCF of Fractions for 7888/527, 2538/229 is 2/120683.