Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/35,505/99,962/586
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 118,505,962
Greatest Common Factor of Numerators i.e. GCF of 118,505,962 is 1 .
LCM of Denominators means LCM of 35,99,586 as per the given fractions.
LCM of 35,99,586 is 2030490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 118,505,962
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 118,505,962 . The biggest common factor number is the GCF number.
So the greatest common factor 118,505,962 is 1.
Lets's calculate LCM of 35,99,586
Given numbers has no common factors except 1. So, there LCM is their product i.e 2030490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2030490
Therefore, the GCF of Fractions 118/35,505/99,962/586 is 1/2030490
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 35,99,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,99,586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,99,586) x common factors =1 x 1 = 1
LCM(35,99,586) = ( 35 × 99 × 586 ) / 1
LCM(35,99,586) = 2030490 / 1
LCM(35,99,586) = 2030490
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 118/35, 505/99, 962/586?
Answer: GCF of Numerators as per given numbers 118/35, 505/99, 962/586 is
GCF of Numerators i.e. for 118,505,962 is 1
LCM of denominators i.e. for 35,99,586 is 2030490.
Thus, GCF of Fractions is 1/2030490.Finally, GCF of Fractions for 118/35, 505/99, 962/586 is 1/2030490.