Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/35,78/30,385/19
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 53,78,385
Greatest Common Factor of Numerators i.e. GCF of 53,78,385 is 1 .
LCM of Denominators means LCM of 35,30,19 as per the given fractions.
LCM of 35,30,19 is 3990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 53,78,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 53,78,385 . The biggest common factor number is the GCF number.
So the greatest common factor 53,78,385 is 1.
Lets's calculate LCM of 35,30,19
5 | 35, 30, 19 |
7, 6, 19 |
∴ So the LCM of the given numbers is 5 x 7 x 6 x 19 = 3990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3990
Therefore, the GCF of Fractions 53/35,78/30,385/19 is 1/3990
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 35,30,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,30,19) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,30,19) x common factors =1 x 5 = 5
LCM(35,30,19) = ( 35 × 30 × 19 ) / 5
LCM(35,30,19) = 19950 / 5
LCM(35,30,19) = 3990
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 53/35, 78/30, 385/19?
Answer: GCF of Numerators as per given numbers 53/35, 78/30, 385/19 is
GCF of Numerators i.e. for 53,78,385 is 1
LCM of denominators i.e. for 35,30,19 is 3990.
Thus, GCF of Fractions is 1/3990.Finally, GCF of Fractions for 53/35, 78/30, 385/19 is 1/3990.