Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 677/514,5345/892
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 677,5345
Greatest Common Factor of Numerators i.e. GCF of 677,5345 is 1 .
LCM of Denominators means LCM of 514,892 as per the given fractions.
LCM of 514,892 is 229244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 677,5345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 5345
List of positive integer factors of 5345 that divides 5345 without a remainder.
1,5,1069,5345
Greatest Common Factor
We found the factors 677,5345 . The biggest common factor number is the GCF number.
So the greatest common factor 677,5345 is 1.
Lets's calculate LCM of 514,892
2 | 514, 892 |
257, 446 |
∴ So the LCM of the given numbers is 2 x 257 x 446 = 229244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229244
Therefore, the GCF of Fractions 677/514,5345/892 is 1/229244
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 514,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,892) x common factors =2 x 1 = 2
LCM(514,892) = ( 514 × 892 ) / 2
LCM(514,892) = 458488 / 2
LCM(514,892) = 229244
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 677/514, 5345/892?
Answer: GCF of Numerators as per given numbers 677/514, 5345/892 is
GCF of Numerators i.e. for 677,5345 is 1
LCM of denominators i.e. for 514,892 is 229244.
Thus, GCF of Fractions is 1/229244.Finally, GCF of Fractions for 677/514, 5345/892 is 1/229244.