Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 544/986,1275/875
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 544,1275
Greatest Common Factor of Numerators i.e. GCF of 544,1275 is 17 .
LCM of Denominators means LCM of 986,875 as per the given fractions.
LCM of 986,875 is 862750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 544,1275
17 | 544, 1275 |
32, 75 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 1275
List of positive integer factors of 1275 that divides 1275 without a remainder.
1,3,5,15,17,25,51,75,85,255,425,1275
Greatest Common Factor
We found the factors 544,1275 . The biggest common factor number is the GCF number.
So the greatest common factor 544,1275 is 17.
Lets's calculate LCM of 986,875
Given numbers has no common factors except 1. So, there LCM is their product i.e 862750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/862750
Therefore, the GCF of Fractions 544/986,1275/875 is 17/862750
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 986,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,875) x common factors =1 x 1 = 1
LCM(986,875) = ( 986 × 875 ) / 1
LCM(986,875) = 862750 / 1
LCM(986,875) = 862750
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 544/986, 1275/875?
Answer: GCF of Numerators as per given numbers 544/986, 1275/875 is
GCF of Numerators i.e. for 544,1275 is 17
LCM of denominators i.e. for 986,875 is 862750.
Thus, GCF of Fractions is 17/862750.Finally, GCF of Fractions for 544/986, 1275/875 is 17/862750.