Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/76,1039/690
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 545,1039
Greatest Common Factor of Numerators i.e. GCF of 545,1039 is 1 .
LCM of Denominators means LCM of 76,690 as per the given fractions.
LCM of 76,690 is 26220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 545,1039
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 1039
List of positive integer factors of 1039 that divides 1039 without a remainder.
1,1039
Greatest Common Factor
We found the factors 545,1039 . The biggest common factor number is the GCF number.
So the greatest common factor 545,1039 is 1.
Lets's calculate LCM of 76,690
2 | 76, 690 |
38, 345 |
∴ So the LCM of the given numbers is 2 x 38 x 345 = 26220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26220
Therefore, the GCF of Fractions 545/76,1039/690 is 1/26220
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 76,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,690) x common factors =2 x 1 = 2
LCM(76,690) = ( 76 × 690 ) / 2
LCM(76,690) = 52440 / 2
LCM(76,690) = 26220
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 545/76, 1039/690?
Answer: GCF of Numerators as per given numbers 545/76, 1039/690 is
GCF of Numerators i.e. for 545,1039 is 1
LCM of denominators i.e. for 76,690 is 26220.
Thus, GCF of Fractions is 1/26220.Finally, GCF of Fractions for 545/76, 1039/690 is 1/26220.