Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 502/609,2250/760
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 502,2250
Greatest Common Factor of Numerators i.e. GCF of 502,2250 is 2 .
LCM of Denominators means LCM of 609,760 as per the given fractions.
LCM of 609,760 is 462840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 502,2250
2 | 502, 2250 |
251, 1125 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 2250
List of positive integer factors of 2250 that divides 2250 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250
Greatest Common Factor
We found the factors 502,2250 . The biggest common factor number is the GCF number.
So the greatest common factor 502,2250 is 2.
Lets's calculate LCM of 609,760
Given numbers has no common factors except 1. So, there LCM is their product i.e 462840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/462840
Therefore, the GCF of Fractions 502/609,2250/760 is 2/462840
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 609,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,760) x common factors =1 x 1 = 1
LCM(609,760) = ( 609 × 760 ) / 1
LCM(609,760) = 462840 / 1
LCM(609,760) = 462840
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 502/609, 2250/760?
Answer: GCF of Numerators as per given numbers 502/609, 2250/760 is
GCF of Numerators i.e. for 502,2250 is 2
LCM of denominators i.e. for 609,760 is 462840.
Thus, GCF of Fractions is 2/462840.Finally, GCF of Fractions for 502/609, 2250/760 is 2/462840.