Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5762/545,8427/9752
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 5762,8427
Greatest Common Factor of Numerators i.e. GCF of 5762,8427 is 1 .
LCM of Denominators means LCM of 545,9752 as per the given fractions.
LCM of 545,9752 is 5314840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5762,8427
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5762
List of positive integer factors of 5762 that divides 5762 without a remainder.
1,2,43,67,86,134,2881,5762
Factors of 8427
List of positive integer factors of 8427 that divides 8427 without a remainder.
1,3,53,159,2809,8427
Greatest Common Factor
We found the factors 5762,8427 . The biggest common factor number is the GCF number.
So the greatest common factor 5762,8427 is 1.
Lets's calculate LCM of 545,9752
Given numbers has no common factors except 1. So, there LCM is their product i.e 5314840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5314840
Therefore, the GCF of Fractions 5762/545,8427/9752 is 1/5314840
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 545,9752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,9752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,9752) x common factors =1 x 1 = 1
LCM(545,9752) = ( 545 × 9752 ) / 1
LCM(545,9752) = 5314840 / 1
LCM(545,9752) = 5314840
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 5762/545, 8427/9752?
Answer: GCF of Numerators as per given numbers 5762/545, 8427/9752 is
GCF of Numerators i.e. for 5762,8427 is 1
LCM of denominators i.e. for 545,9752 is 5314840.
Thus, GCF of Fractions is 1/5314840.Finally, GCF of Fractions for 5762/545, 8427/9752 is 1/5314840.