Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6293/843,8042/9070
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 6293,8042
Greatest Common Factor of Numerators i.e. GCF of 6293,8042 is 1 .
LCM of Denominators means LCM of 843,9070 as per the given fractions.
LCM of 843,9070 is 7646010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6293,8042
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6293
List of positive integer factors of 6293 that divides 6293 without a remainder.
1,7,29,31,203,217,899,6293
Factors of 8042
List of positive integer factors of 8042 that divides 8042 without a remainder.
1,2,4021,8042
Greatest Common Factor
We found the factors 6293,8042 . The biggest common factor number is the GCF number.
So the greatest common factor 6293,8042 is 1.
Lets's calculate LCM of 843,9070
Given numbers has no common factors except 1. So, there LCM is their product i.e 7646010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7646010
Therefore, the GCF of Fractions 6293/843,8042/9070 is 1/7646010
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 843,9070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,9070) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,9070) x common factors =1 x 1 = 1
LCM(843,9070) = ( 843 × 9070 ) / 1
LCM(843,9070) = 7646010 / 1
LCM(843,9070) = 7646010
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 6293/843, 8042/9070?
Answer: GCF of Numerators as per given numbers 6293/843, 8042/9070 is
GCF of Numerators i.e. for 6293,8042 is 1
LCM of denominators i.e. for 843,9070 is 7646010.
Thus, GCF of Fractions is 1/7646010.Finally, GCF of Fractions for 6293/843, 8042/9070 is 1/7646010.