Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 534/801,2557/929
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 534,2557
Greatest Common Factor of Numerators i.e. GCF of 534,2557 is 1 .
LCM of Denominators means LCM of 801,929 as per the given fractions.
LCM of 801,929 is 744129 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 534,2557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 2557
List of positive integer factors of 2557 that divides 2557 without a remainder.
1,2557
Greatest Common Factor
We found the factors 534,2557 . The biggest common factor number is the GCF number.
So the greatest common factor 534,2557 is 1.
Lets's calculate LCM of 801,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 744129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/744129
Therefore, the GCF of Fractions 534/801,2557/929 is 1/744129
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 801,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(801,929) x common factors =1 x 1 = 1
LCM(801,929) = ( 801 × 929 ) / 1
LCM(801,929) = 744129 / 1
LCM(801,929) = 744129
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 534/801, 2557/929?
Answer: GCF of Numerators as per given numbers 534/801, 2557/929 is
GCF of Numerators i.e. for 534,2557 is 1
LCM of denominators i.e. for 801,929 is 744129.
Thus, GCF of Fractions is 1/744129.Finally, GCF of Fractions for 534/801, 2557/929 is 1/744129.