Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 111/533,7360/372
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 111,7360
Greatest Common Factor of Numerators i.e. GCF of 111,7360 is 1 .
LCM of Denominators means LCM of 533,372 as per the given fractions.
LCM of 533,372 is 198276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 111,7360
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 7360
List of positive integer factors of 7360 that divides 7360 without a remainder.
1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360
Greatest Common Factor
We found the factors 111,7360 . The biggest common factor number is the GCF number.
So the greatest common factor 111,7360 is 1.
Lets's calculate LCM of 533,372
Given numbers has no common factors except 1. So, there LCM is their product i.e 198276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198276
Therefore, the GCF of Fractions 111/533,7360/372 is 1/198276
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 533,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,372) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,372) x common factors =1 x 1 = 1
LCM(533,372) = ( 533 × 372 ) / 1
LCM(533,372) = 198276 / 1
LCM(533,372) = 198276
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 111/533, 7360/372?
Answer: GCF of Numerators as per given numbers 111/533, 7360/372 is
GCF of Numerators i.e. for 111,7360 is 1
LCM of denominators i.e. for 533,372 is 198276.
Thus, GCF of Fractions is 1/198276.Finally, GCF of Fractions for 111/533, 7360/372 is 1/198276.