Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/53,5358/780
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 615,5358
Greatest Common Factor of Numerators i.e. GCF of 615,5358 is 3 .
LCM of Denominators means LCM of 53,780 as per the given fractions.
LCM of 53,780 is 41340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 615,5358
3 | 615, 5358 |
205, 1786 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 5358
List of positive integer factors of 5358 that divides 5358 without a remainder.
1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358
Greatest Common Factor
We found the factors 615,5358 . The biggest common factor number is the GCF number.
So the greatest common factor 615,5358 is 3.
Lets's calculate LCM of 53,780
Given numbers has no common factors except 1. So, there LCM is their product i.e 41340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41340
Therefore, the GCF of Fractions 615/53,5358/780 is 3/41340
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 53,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,780) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,780) x common factors =1 x 1 = 1
LCM(53,780) = ( 53 × 780 ) / 1
LCM(53,780) = 41340 / 1
LCM(53,780) = 41340
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 615/53, 5358/780?
Answer: GCF of Numerators as per given numbers 615/53, 5358/780 is
GCF of Numerators i.e. for 615,5358 is 3
LCM of denominators i.e. for 53,780 is 41340.
Thus, GCF of Fractions is 3/41340.Finally, GCF of Fractions for 615/53, 5358/780 is 3/41340.