Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4543/780,4400/5014
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 4543,4400
Greatest Common Factor of Numerators i.e. GCF of 4543,4400 is 11 .
LCM of Denominators means LCM of 780,5014 as per the given fractions.
LCM of 780,5014 is 1955460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4543,4400
11 | 4543, 4400 |
413, 400 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 4543
List of positive integer factors of 4543 that divides 4543 without a remainder.
1,7,11,59,77,413,649,4543
Factors of 4400
List of positive integer factors of 4400 that divides 4400 without a remainder.
1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400
Greatest Common Factor
We found the factors 4543,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 4543,4400 is 11.
Lets's calculate LCM of 780,5014
2 | 780, 5014 |
390, 2507 |
∴ So the LCM of the given numbers is 2 x 390 x 2507 = 1955460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1955460
Therefore, the GCF of Fractions 4543/780,4400/5014 is 11/1955460
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 780,5014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,5014) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(780,5014) x common factors =2 x 1 = 2
LCM(780,5014) = ( 780 × 5014 ) / 2
LCM(780,5014) = 3910920 / 2
LCM(780,5014) = 1955460
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 4543/780, 4400/5014?
Answer: GCF of Numerators as per given numbers 4543/780, 4400/5014 is
GCF of Numerators i.e. for 4543,4400 is 11
LCM of denominators i.e. for 780,5014 is 1955460.
Thus, GCF of Fractions is 11/1955460.Finally, GCF of Fractions for 4543/780, 4400/5014 is 11/1955460.