Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1832/937,3919/3278
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 1832,3919
Greatest Common Factor of Numerators i.e. GCF of 1832,3919 is 1 .
LCM of Denominators means LCM of 937,3278 as per the given fractions.
LCM of 937,3278 is 3071486 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1832,3919
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1832
List of positive integer factors of 1832 that divides 1832 without a remainder.
1,2,4,8,229,458,916,1832
Factors of 3919
List of positive integer factors of 3919 that divides 3919 without a remainder.
1,3919
Greatest Common Factor
We found the factors 1832,3919 . The biggest common factor number is the GCF number.
So the greatest common factor 1832,3919 is 1.
Lets's calculate LCM of 937,3278
Given numbers has no common factors except 1. So, there LCM is their product i.e 3071486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3071486
Therefore, the GCF of Fractions 1832/937,3919/3278 is 1/3071486
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 937,3278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,3278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,3278) x common factors =1 x 1 = 1
LCM(937,3278) = ( 937 × 3278 ) / 1
LCM(937,3278) = 3071486 / 1
LCM(937,3278) = 3071486
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 1832/937, 3919/3278?
Answer: GCF of Numerators as per given numbers 1832/937, 3919/3278 is
GCF of Numerators i.e. for 1832,3919 is 1
LCM of denominators i.e. for 937,3278 is 3071486.
Thus, GCF of Fractions is 1/3071486.Finally, GCF of Fractions for 1832/937, 3919/3278 is 1/3071486.