Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 148/920,319/250
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 148,319
Greatest Common Factor of Numerators i.e. GCF of 148,319 is 1 .
LCM of Denominators means LCM of 920,250 as per the given fractions.
LCM of 920,250 is 23000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 148,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Greatest Common Factor
We found the factors 148,319 . The biggest common factor number is the GCF number.
So the greatest common factor 148,319 is 1.
Lets's calculate LCM of 920,250
2 | 920, 250 |
5 | 460, 125 |
92, 25 |
∴ So the LCM of the given numbers is 2 x 5 x 92 x 25 = 23000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23000
Therefore, the GCF of Fractions 148/920,319/250 is 1/23000
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 920,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,250) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(920,250) x common factors =10 x 1 = 10
LCM(920,250) = ( 920 × 250 ) / 10
LCM(920,250) = 230000 / 10
LCM(920,250) = 23000
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 148/920, 319/250?
Answer: GCF of Numerators as per given numbers 148/920, 319/250 is
GCF of Numerators i.e. for 148,319 is 1
LCM of denominators i.e. for 920,250 is 23000.
Thus, GCF of Fractions is 1/23000.Finally, GCF of Fractions for 148/920, 319/250 is 1/23000.