Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1903/92,9388/762
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 1903,9388
Greatest Common Factor of Numerators i.e. GCF of 1903,9388 is 1 .
LCM of Denominators means LCM of 92,762 as per the given fractions.
LCM of 92,762 is 35052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1903,9388
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1903
List of positive integer factors of 1903 that divides 1903 without a remainder.
1,11,173,1903
Factors of 9388
List of positive integer factors of 9388 that divides 9388 without a remainder.
1,2,4,2347,4694,9388
Greatest Common Factor
We found the factors 1903,9388 . The biggest common factor number is the GCF number.
So the greatest common factor 1903,9388 is 1.
Lets's calculate LCM of 92,762
2 | 92, 762 |
46, 381 |
∴ So the LCM of the given numbers is 2 x 46 x 381 = 35052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35052
Therefore, the GCF of Fractions 1903/92,9388/762 is 1/35052
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 92,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(92,762) x common factors =2 x 1 = 2
LCM(92,762) = ( 92 × 762 ) / 2
LCM(92,762) = 70104 / 2
LCM(92,762) = 35052
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 1903/92, 9388/762?
Answer: GCF of Numerators as per given numbers 1903/92, 9388/762 is
GCF of Numerators i.e. for 1903,9388 is 1
LCM of denominators i.e. for 92,762 is 35052.
Thus, GCF of Fractions is 1/35052.Finally, GCF of Fractions for 1903/92, 9388/762 is 1/35052.