Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/491,62/298,878/375
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 68,62,878
Greatest Common Factor of Numerators i.e. GCF of 68,62,878 is 2 .
LCM of Denominators means LCM of 491,298,375 as per the given fractions.
LCM of 491,298,375 is 54869250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,62,878
2 | 68, 62, 878 |
34, 31, 439 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors 68,62,878 . The biggest common factor number is the GCF number.
So the greatest common factor 68,62,878 is 2.
Lets's calculate LCM of 491,298,375
Given numbers has no common factors except 1. So, there LCM is their product i.e 54869250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54869250
Therefore, the GCF of Fractions 68/491,62/298,878/375 is 2/54869250
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 491,298,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,298,375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,298,375) x common factors =1 x 1 = 1
LCM(491,298,375) = ( 491 × 298 × 375 ) / 1
LCM(491,298,375) = 54869250 / 1
LCM(491,298,375) = 54869250
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 68/491, 62/298, 878/375?
Answer: GCF of Numerators as per given numbers 68/491, 62/298, 878/375 is
GCF of Numerators i.e. for 68,62,878 is 2
LCM of denominators i.e. for 491,298,375 is 54869250.
Thus, GCF of Fractions is 2/54869250.Finally, GCF of Fractions for 68/491, 62/298, 878/375 is 2/54869250.