Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 578/80,4278/543
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 578,4278
Greatest Common Factor of Numerators i.e. GCF of 578,4278 is 2 .
LCM of Denominators means LCM of 80,543 as per the given fractions.
LCM of 80,543 is 43440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 578,4278
2 | 578, 4278 |
289, 2139 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 4278
List of positive integer factors of 4278 that divides 4278 without a remainder.
1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278
Greatest Common Factor
We found the factors 578,4278 . The biggest common factor number is the GCF number.
So the greatest common factor 578,4278 is 2.
Lets's calculate LCM of 80,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 43440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43440
Therefore, the GCF of Fractions 578/80,4278/543 is 2/43440
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 80,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,543) x common factors =1 x 1 = 1
LCM(80,543) = ( 80 × 543 ) / 1
LCM(80,543) = 43440 / 1
LCM(80,543) = 43440
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 578/80, 4278/543?
Answer: GCF of Numerators as per given numbers 578/80, 4278/543 is
GCF of Numerators i.e. for 578,4278 is 2
LCM of denominators i.e. for 80,543 is 43440.
Thus, GCF of Fractions is 2/43440.Finally, GCF of Fractions for 578/80, 4278/543 is 2/43440.