Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 151/883,8338/253
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 151,8338
Greatest Common Factor of Numerators i.e. GCF of 151,8338 is 1 .
LCM of Denominators means LCM of 883,253 as per the given fractions.
LCM of 883,253 is 223399 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 151,8338
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 8338
List of positive integer factors of 8338 that divides 8338 without a remainder.
1,2,11,22,379,758,4169,8338
Greatest Common Factor
We found the factors 151,8338 . The biggest common factor number is the GCF number.
So the greatest common factor 151,8338 is 1.
Lets's calculate LCM of 883,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 223399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223399
Therefore, the GCF of Fractions 151/883,8338/253 is 1/223399
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 883,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,253) x common factors =1 x 1 = 1
LCM(883,253) = ( 883 × 253 ) / 1
LCM(883,253) = 223399 / 1
LCM(883,253) = 223399
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 151/883, 8338/253?
Answer: GCF of Numerators as per given numbers 151/883, 8338/253 is
GCF of Numerators i.e. for 151,8338 is 1
LCM of denominators i.e. for 883,253 is 223399.
Thus, GCF of Fractions is 1/223399.Finally, GCF of Fractions for 151/883, 8338/253 is 1/223399.