Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1517/934,9755/7530
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 1517,9755
Greatest Common Factor of Numerators i.e. GCF of 1517,9755 is 1 .
LCM of Denominators means LCM of 934,7530 as per the given fractions.
LCM of 934,7530 is 3516510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1517,9755
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1517
List of positive integer factors of 1517 that divides 1517 without a remainder.
1,37,41,1517
Factors of 9755
List of positive integer factors of 9755 that divides 9755 without a remainder.
1,5,1951,9755
Greatest Common Factor
We found the factors 1517,9755 . The biggest common factor number is the GCF number.
So the greatest common factor 1517,9755 is 1.
Lets's calculate LCM of 934,7530
2 | 934, 7530 |
467, 3765 |
∴ So the LCM of the given numbers is 2 x 467 x 3765 = 3516510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3516510
Therefore, the GCF of Fractions 1517/934,9755/7530 is 1/3516510
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 934,7530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,7530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,7530) x common factors =2 x 1 = 2
LCM(934,7530) = ( 934 × 7530 ) / 2
LCM(934,7530) = 7033020 / 2
LCM(934,7530) = 3516510
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 1517/934, 9755/7530?
Answer: GCF of Numerators as per given numbers 1517/934, 9755/7530 is
GCF of Numerators i.e. for 1517,9755 is 1
LCM of denominators i.e. for 934,7530 is 3516510.
Thus, GCF of Fractions is 1/3516510.Finally, GCF of Fractions for 1517/934, 9755/7530 is 1/3516510.