Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1473/357,2540/7054
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 1473,2540
Greatest Common Factor of Numerators i.e. GCF of 1473,2540 is 1 .
LCM of Denominators means LCM of 357,7054 as per the given fractions.
LCM of 357,7054 is 2518278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1473,2540
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1473
List of positive integer factors of 1473 that divides 1473 without a remainder.
1,3,491,1473
Factors of 2540
List of positive integer factors of 2540 that divides 2540 without a remainder.
1,2,4,5,10,20,127,254,508,635,1270,2540
Greatest Common Factor
We found the factors 1473,2540 . The biggest common factor number is the GCF number.
So the greatest common factor 1473,2540 is 1.
Lets's calculate LCM of 357,7054
Given numbers has no common factors except 1. So, there LCM is their product i.e 2518278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2518278
Therefore, the GCF of Fractions 1473/357,2540/7054 is 1/2518278
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 357,7054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,7054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,7054) x common factors =1 x 1 = 1
LCM(357,7054) = ( 357 × 7054 ) / 1
LCM(357,7054) = 2518278 / 1
LCM(357,7054) = 2518278
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 1473/357, 2540/7054?
Answer: GCF of Numerators as per given numbers 1473/357, 2540/7054 is
GCF of Numerators i.e. for 1473,2540 is 1
LCM of denominators i.e. for 357,7054 is 2518278.
Thus, GCF of Fractions is 1/2518278.Finally, GCF of Fractions for 1473/357, 2540/7054 is 1/2518278.