Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7557/595,7356/527
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 7557,7356
Greatest Common Factor of Numerators i.e. GCF of 7557,7356 is 3 .
LCM of Denominators means LCM of 595,527 as per the given fractions.
LCM of 595,527 is 18445 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7557,7356
3 | 7557, 7356 |
2519, 2452 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7557
List of positive integer factors of 7557 that divides 7557 without a remainder.
1,3,11,33,229,687,2519,7557
Factors of 7356
List of positive integer factors of 7356 that divides 7356 without a remainder.
1,2,3,4,6,12,613,1226,1839,2452,3678,7356
Greatest Common Factor
We found the factors 7557,7356 . The biggest common factor number is the GCF number.
So the greatest common factor 7557,7356 is 3.
Lets's calculate LCM of 595,527
17 | 595, 527 |
35, 31 |
∴ So the LCM of the given numbers is 17 x 35 x 31 = 18445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18445
Therefore, the GCF of Fractions 7557/595,7356/527 is 3/18445
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 595,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,527) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(595,527) x common factors =17 x 1 = 17
LCM(595,527) = ( 595 × 527 ) / 17
LCM(595,527) = 313565 / 17
LCM(595,527) = 18445
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 7557/595, 7356/527?
Answer: GCF of Numerators as per given numbers 7557/595, 7356/527 is
GCF of Numerators i.e. for 7557,7356 is 3
LCM of denominators i.e. for 595,527 is 18445.
Thus, GCF of Fractions is 3/18445.Finally, GCF of Fractions for 7557/595, 7356/527 is 3/18445.