Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7183/501,5630/7243
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 7183,5630
Greatest Common Factor of Numerators i.e. GCF of 7183,5630 is 1 .
LCM of Denominators means LCM of 501,7243 as per the given fractions.
LCM of 501,7243 is 3628743 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7183,5630
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7183
List of positive integer factors of 7183 that divides 7183 without a remainder.
1,11,653,7183
Factors of 5630
List of positive integer factors of 5630 that divides 5630 without a remainder.
1,2,5,10,563,1126,2815,5630
Greatest Common Factor
We found the factors 7183,5630 . The biggest common factor number is the GCF number.
So the greatest common factor 7183,5630 is 1.
Lets's calculate LCM of 501,7243
Given numbers has no common factors except 1. So, there LCM is their product i.e 3628743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3628743
Therefore, the GCF of Fractions 7183/501,5630/7243 is 1/3628743
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 501,7243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,7243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,7243) x common factors =1 x 1 = 1
LCM(501,7243) = ( 501 × 7243 ) / 1
LCM(501,7243) = 3628743 / 1
LCM(501,7243) = 3628743
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 7183/501, 5630/7243?
Answer: GCF of Numerators as per given numbers 7183/501, 5630/7243 is
GCF of Numerators i.e. for 7183,5630 is 1
LCM of denominators i.e. for 501,7243 is 3628743.
Thus, GCF of Fractions is 1/3628743.Finally, GCF of Fractions for 7183/501, 5630/7243 is 1/3628743.