Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3594/926,7903/2957
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 3594,7903
Greatest Common Factor of Numerators i.e. GCF of 3594,7903 is 1 .
LCM of Denominators means LCM of 926,2957 as per the given fractions.
LCM of 926,2957 is 2738182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3594,7903
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3594
List of positive integer factors of 3594 that divides 3594 without a remainder.
1,2,3,6,599,1198,1797,3594
Factors of 7903
List of positive integer factors of 7903 that divides 7903 without a remainder.
1,7,1129,7903
Greatest Common Factor
We found the factors 3594,7903 . The biggest common factor number is the GCF number.
So the greatest common factor 3594,7903 is 1.
Lets's calculate LCM of 926,2957
Given numbers has no common factors except 1. So, there LCM is their product i.e 2738182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2738182
Therefore, the GCF of Fractions 3594/926,7903/2957 is 1/2738182
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 926,2957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,2957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(926,2957) x common factors =1 x 1 = 1
LCM(926,2957) = ( 926 × 2957 ) / 1
LCM(926,2957) = 2738182 / 1
LCM(926,2957) = 2738182
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 3594/926, 7903/2957?
Answer: GCF of Numerators as per given numbers 3594/926, 7903/2957 is
GCF of Numerators i.e. for 3594,7903 is 1
LCM of denominators i.e. for 926,2957 is 2738182.
Thus, GCF of Fractions is 1/2738182.Finally, GCF of Fractions for 3594/926, 7903/2957 is 1/2738182.