Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6107/508,2065/926
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 6107,2065
Greatest Common Factor of Numerators i.e. GCF of 6107,2065 is 1 .
LCM of Denominators means LCM of 508,926 as per the given fractions.
LCM of 508,926 is 235204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6107,2065
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6107
List of positive integer factors of 6107 that divides 6107 without a remainder.
1,31,197,6107
Factors of 2065
List of positive integer factors of 2065 that divides 2065 without a remainder.
1,5,7,35,59,295,413,2065
Greatest Common Factor
We found the factors 6107,2065 . The biggest common factor number is the GCF number.
So the greatest common factor 6107,2065 is 1.
Lets's calculate LCM of 508,926
2 | 508, 926 |
254, 463 |
∴ So the LCM of the given numbers is 2 x 254 x 463 = 235204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235204
Therefore, the GCF of Fractions 6107/508,2065/926 is 1/235204
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 508,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,926) x common factors =2 x 1 = 2
LCM(508,926) = ( 508 × 926 ) / 2
LCM(508,926) = 470408 / 2
LCM(508,926) = 235204
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 6107/508, 2065/926?
Answer: GCF of Numerators as per given numbers 6107/508, 2065/926 is
GCF of Numerators i.e. for 6107,2065 is 1
LCM of denominators i.e. for 508,926 is 235204.
Thus, GCF of Fractions is 1/235204.Finally, GCF of Fractions for 6107/508, 2065/926 is 1/235204.