Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/119,4800/2365
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 76,4800
Greatest Common Factor of Numerators i.e. GCF of 76,4800 is 4 .
LCM of Denominators means LCM of 119,2365 as per the given fractions.
LCM of 119,2365 is 281435 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,4800
2 | 76, 4800 |
2 | 38, 2400 |
19, 1200 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 4800
List of positive integer factors of 4800 that divides 4800 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,150,160,192,200,240,300,320,400,480,600,800,960,1200,1600,2400,4800
Greatest Common Factor
We found the factors 76,4800 . The biggest common factor number is the GCF number.
So the greatest common factor 76,4800 is 4.
Lets's calculate LCM of 119,2365
Given numbers has no common factors except 1. So, there LCM is their product i.e 281435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/281435
Therefore, the GCF of Fractions 76/119,4800/2365 is 4/281435
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 119,2365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,2365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,2365) x common factors =1 x 1 = 1
LCM(119,2365) = ( 119 × 2365 ) / 1
LCM(119,2365) = 281435 / 1
LCM(119,2365) = 281435
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 76/119, 4800/2365?
Answer: GCF of Numerators as per given numbers 76/119, 4800/2365 is
GCF of Numerators i.e. for 76,4800 is 4
LCM of denominators i.e. for 119,2365 is 281435.
Thus, GCF of Fractions is 4/281435.Finally, GCF of Fractions for 76/119, 4800/2365 is 4/281435.