Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 462/535,8015/269
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 462,8015
Greatest Common Factor of Numerators i.e. GCF of 462,8015 is 7 .
LCM of Denominators means LCM of 535,269 as per the given fractions.
LCM of 535,269 is 143915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 462,8015
7 | 462, 8015 |
66, 1145 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 8015
List of positive integer factors of 8015 that divides 8015 without a remainder.
1,5,7,35,229,1145,1603,8015
Greatest Common Factor
We found the factors 462,8015 . The biggest common factor number is the GCF number.
So the greatest common factor 462,8015 is 7.
Lets's calculate LCM of 535,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 143915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/143915
Therefore, the GCF of Fractions 462/535,8015/269 is 7/143915
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 535,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,269) x common factors =1 x 1 = 1
LCM(535,269) = ( 535 × 269 ) / 1
LCM(535,269) = 143915 / 1
LCM(535,269) = 143915
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 462/535, 8015/269?
Answer: GCF of Numerators as per given numbers 462/535, 8015/269 is
GCF of Numerators i.e. for 462,8015 is 7
LCM of denominators i.e. for 535,269 is 143915.
Thus, GCF of Fractions is 7/143915.Finally, GCF of Fractions for 462/535, 8015/269 is 7/143915.