Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1266/205,2750/7395
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 1266,2750
Greatest Common Factor of Numerators i.e. GCF of 1266,2750 is 2 .
LCM of Denominators means LCM of 205,7395 as per the given fractions.
LCM of 205,7395 is 303195 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1266,2750
2 | 1266, 2750 |
633, 1375 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1266
List of positive integer factors of 1266 that divides 1266 without a remainder.
1,2,3,6,211,422,633,1266
Factors of 2750
List of positive integer factors of 2750 that divides 2750 without a remainder.
1,2,5,10,11,22,25,50,55,110,125,250,275,550,1375,2750
Greatest Common Factor
We found the factors 1266,2750 . The biggest common factor number is the GCF number.
So the greatest common factor 1266,2750 is 2.
Lets's calculate LCM of 205,7395
5 | 205, 7395 |
41, 1479 |
∴ So the LCM of the given numbers is 5 x 41 x 1479 = 303195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/303195
Therefore, the GCF of Fractions 1266/205,2750/7395 is 2/303195
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 205,7395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,7395) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,7395) x common factors =5 x 1 = 5
LCM(205,7395) = ( 205 × 7395 ) / 5
LCM(205,7395) = 1515975 / 5
LCM(205,7395) = 303195
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 1266/205, 2750/7395?
Answer: GCF of Numerators as per given numbers 1266/205, 2750/7395 is
GCF of Numerators i.e. for 1266,2750 is 2
LCM of denominators i.e. for 205,7395 is 303195.
Thus, GCF of Fractions is 2/303195.Finally, GCF of Fractions for 1266/205, 2750/7395 is 2/303195.