Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5862/911,7592/3011
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 5862,7592
Greatest Common Factor of Numerators i.e. GCF of 5862,7592 is 2 .
LCM of Denominators means LCM of 911,3011 as per the given fractions.
LCM of 911,3011 is 2743021 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5862,7592
2 | 5862, 7592 |
2931, 3796 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5862
List of positive integer factors of 5862 that divides 5862 without a remainder.
1,2,3,6,977,1954,2931,5862
Factors of 7592
List of positive integer factors of 7592 that divides 7592 without a remainder.
1,2,4,8,13,26,52,73,104,146,292,584,949,1898,3796,7592
Greatest Common Factor
We found the factors 5862,7592 . The biggest common factor number is the GCF number.
So the greatest common factor 5862,7592 is 2.
Lets's calculate LCM of 911,3011
Given numbers has no common factors except 1. So, there LCM is their product i.e 2743021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2743021
Therefore, the GCF of Fractions 5862/911,7592/3011 is 2/2743021
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 911,3011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,3011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,3011) x common factors =1 x 1 = 1
LCM(911,3011) = ( 911 × 3011 ) / 1
LCM(911,3011) = 2743021 / 1
LCM(911,3011) = 2743021
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 5862/911, 7592/3011?
Answer: GCF of Numerators as per given numbers 5862/911, 7592/3011 is
GCF of Numerators i.e. for 5862,7592 is 2
LCM of denominators i.e. for 911,3011 is 2743021.
Thus, GCF of Fractions is 2/2743021.Finally, GCF of Fractions for 5862/911, 7592/3011 is 2/2743021.