Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5164/931,2026/831
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 5164,2026
Greatest Common Factor of Numerators i.e. GCF of 5164,2026 is 2 .
LCM of Denominators means LCM of 931,831 as per the given fractions.
LCM of 931,831 is 773661 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5164,2026
2 | 5164, 2026 |
2582, 1013 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5164
List of positive integer factors of 5164 that divides 5164 without a remainder.
1,2,4,1291,2582,5164
Factors of 2026
List of positive integer factors of 2026 that divides 2026 without a remainder.
1,2,1013,2026
Greatest Common Factor
We found the factors 5164,2026 . The biggest common factor number is the GCF number.
So the greatest common factor 5164,2026 is 2.
Lets's calculate LCM of 931,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 773661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/773661
Therefore, the GCF of Fractions 5164/931,2026/831 is 2/773661
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 931,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,831) x common factors =1 x 1 = 1
LCM(931,831) = ( 931 × 831 ) / 1
LCM(931,831) = 773661 / 1
LCM(931,831) = 773661
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 5164/931, 2026/831?
Answer: GCF of Numerators as per given numbers 5164/931, 2026/831 is
GCF of Numerators i.e. for 5164,2026 is 2
LCM of denominators i.e. for 931,831 is 773661.
Thus, GCF of Fractions is 2/773661.Finally, GCF of Fractions for 5164/931, 2026/831 is 2/773661.