Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1538/319,6188/7778
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 1538,6188
Greatest Common Factor of Numerators i.e. GCF of 1538,6188 is 2 .
LCM of Denominators means LCM of 319,7778 as per the given fractions.
LCM of 319,7778 is 2481182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1538,6188
2 | 1538, 6188 |
769, 3094 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1538
List of positive integer factors of 1538 that divides 1538 without a remainder.
1,2,769,1538
Factors of 6188
List of positive integer factors of 6188 that divides 6188 without a remainder.
1,2,4,7,13,14,17,26,28,34,52,68,91,119,182,221,238,364,442,476,884,1547,3094,6188
Greatest Common Factor
We found the factors 1538,6188 . The biggest common factor number is the GCF number.
So the greatest common factor 1538,6188 is 2.
Lets's calculate LCM of 319,7778
Given numbers has no common factors except 1. So, there LCM is their product i.e 2481182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2481182
Therefore, the GCF of Fractions 1538/319,6188/7778 is 2/2481182
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 319,7778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,7778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,7778) x common factors =1 x 1 = 1
LCM(319,7778) = ( 319 × 7778 ) / 1
LCM(319,7778) = 2481182 / 1
LCM(319,7778) = 2481182
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 1538/319, 6188/7778?
Answer: GCF of Numerators as per given numbers 1538/319, 6188/7778 is
GCF of Numerators i.e. for 1538,6188 is 2
LCM of denominators i.e. for 319,7778 is 2481182.
Thus, GCF of Fractions is 2/2481182.Finally, GCF of Fractions for 1538/319, 6188/7778 is 2/2481182.