Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 170/19,527/1588
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 170,527
Greatest Common Factor of Numerators i.e. GCF of 170,527 is 17 .
LCM of Denominators means LCM of 19,1588 as per the given fractions.
LCM of 19,1588 is 30172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 170,527
17 | 170, 527 |
10, 31 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 170,527 . The biggest common factor number is the GCF number.
So the greatest common factor 170,527 is 17.
Lets's calculate LCM of 19,1588
Given numbers has no common factors except 1. So, there LCM is their product i.e 30172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/30172
Therefore, the GCF of Fractions 170/19,527/1588 is 17/30172
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 19,1588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,1588) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,1588) x common factors =1 x 1 = 1
LCM(19,1588) = ( 19 × 1588 ) / 1
LCM(19,1588) = 30172 / 1
LCM(19,1588) = 30172
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 170/19, 527/1588?
Answer: GCF of Numerators as per given numbers 170/19, 527/1588 is
GCF of Numerators i.e. for 170,527 is 17
LCM of denominators i.e. for 19,1588 is 30172.
Thus, GCF of Fractions is 17/30172.Finally, GCF of Fractions for 170/19, 527/1588 is 17/30172.