Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1078/517,1334/4046
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 1078,1334
Greatest Common Factor of Numerators i.e. GCF of 1078,1334 is 2 .
LCM of Denominators means LCM of 517,4046 as per the given fractions.
LCM of 517,4046 is 2091782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1078,1334
2 | 1078, 1334 |
539, 667 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1078
List of positive integer factors of 1078 that divides 1078 without a remainder.
1,2,7,11,14,22,49,77,98,154,539,1078
Factors of 1334
List of positive integer factors of 1334 that divides 1334 without a remainder.
1,2,23,29,46,58,667,1334
Greatest Common Factor
We found the factors 1078,1334 . The biggest common factor number is the GCF number.
So the greatest common factor 1078,1334 is 2.
Lets's calculate LCM of 517,4046
Given numbers has no common factors except 1. So, there LCM is their product i.e 2091782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2091782
Therefore, the GCF of Fractions 1078/517,1334/4046 is 2/2091782
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 517,4046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,4046) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,4046) x common factors =1 x 1 = 1
LCM(517,4046) = ( 517 × 4046 ) / 1
LCM(517,4046) = 2091782 / 1
LCM(517,4046) = 2091782
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 1078/517, 1334/4046?
Answer: GCF of Numerators as per given numbers 1078/517, 1334/4046 is
GCF of Numerators i.e. for 1078,1334 is 2
LCM of denominators i.e. for 517,4046 is 2091782.
Thus, GCF of Fractions is 2/2091782.Finally, GCF of Fractions for 1078/517, 1334/4046 is 2/2091782.