Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7545/558,7236/6791
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 7545,7236
Greatest Common Factor of Numerators i.e. GCF of 7545,7236 is 3 .
LCM of Denominators means LCM of 558,6791 as per the given fractions.
LCM of 558,6791 is 3789378 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7545,7236
3 | 7545, 7236 |
2515, 2412 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7545
List of positive integer factors of 7545 that divides 7545 without a remainder.
1,3,5,15,503,1509,2515,7545
Factors of 7236
List of positive integer factors of 7236 that divides 7236 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236
Greatest Common Factor
We found the factors 7545,7236 . The biggest common factor number is the GCF number.
So the greatest common factor 7545,7236 is 3.
Lets's calculate LCM of 558,6791
Given numbers has no common factors except 1. So, there LCM is their product i.e 3789378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3789378
Therefore, the GCF of Fractions 7545/558,7236/6791 is 3/3789378
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 558,6791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,6791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,6791) x common factors =1 x 1 = 1
LCM(558,6791) = ( 558 × 6791 ) / 1
LCM(558,6791) = 3789378 / 1
LCM(558,6791) = 3789378
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 7545/558, 7236/6791?
Answer: GCF of Numerators as per given numbers 7545/558, 7236/6791 is
GCF of Numerators i.e. for 7545,7236 is 3
LCM of denominators i.e. for 558,6791 is 3789378.
Thus, GCF of Fractions is 3/3789378.Finally, GCF of Fractions for 7545/558, 7236/6791 is 3/3789378.