Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8053/588,7458/7529
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 8053,7458
Greatest Common Factor of Numerators i.e. GCF of 8053,7458 is 1 .
LCM of Denominators means LCM of 588,7529 as per the given fractions.
LCM of 588,7529 is 4427052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8053,7458
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8053
List of positive integer factors of 8053 that divides 8053 without a remainder.
1,8053
Factors of 7458
List of positive integer factors of 7458 that divides 7458 without a remainder.
1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458
Greatest Common Factor
We found the factors 8053,7458 . The biggest common factor number is the GCF number.
So the greatest common factor 8053,7458 is 1.
Lets's calculate LCM of 588,7529
Given numbers has no common factors except 1. So, there LCM is their product i.e 4427052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4427052
Therefore, the GCF of Fractions 8053/588,7458/7529 is 1/4427052
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 588,7529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,7529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(588,7529) x common factors =1 x 1 = 1
LCM(588,7529) = ( 588 × 7529 ) / 1
LCM(588,7529) = 4427052 / 1
LCM(588,7529) = 4427052
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 8053/588, 7458/7529?
Answer: GCF of Numerators as per given numbers 8053/588, 7458/7529 is
GCF of Numerators i.e. for 8053,7458 is 1
LCM of denominators i.e. for 588,7529 is 4427052.
Thus, GCF of Fractions is 1/4427052.Finally, GCF of Fractions for 8053/588, 7458/7529 is 1/4427052.