GCF of 7587/197, 1185/9872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7587/197, 1185/9872 i.e 3/1944784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7587/197, 1185/9872.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7587/197,1185/9872?
Given fractions are 7587/197,1185/9872
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7587/197,1185/9872, numerators are 7587,1185
Denominators are 197,9872
The GCF of 7587,1185 is 3 .
LCM of 197,9872 is 1944784.
The greatest common factor of 7587/197,1185/9872 = [GCF of 7587,1185]/[LCM of 197,9872]= 3/1944784
Therefore, the GCF of 7587/197,1185/9872 is 3/1944784.
To find the highest common factor of 7587,1185, we have to find the factors of both numbers and list the highest common factor.
The factors of 7587 are 1, 3, 9, 27, 281, 843, 2529, 7587
The factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185
The HCF of 7587,1185 is 3.
Lets's calculate GCF of 7587,1185
| 3 | 7587, 1185 |
| 2529, 395 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7587,1185 By Matching Biggest Common Factor Method
Now, list down the factors of 7587
:1,3,9,27,281,843,2529,7587
Now, list down the factors of 1185
:1,3,5,15,79,237,395,1185
Greatest Common Factor
We found the factors 7587,1185 . The biggest common factor number is the GCF number.
So the greatest common factor 7587,1185 is 3.
Lets's calculate LCM of 197,9872
Given numbers has no common factors except 1. So, there LCM is their product i.e 1944784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1944784
Therefore, the GCF of Fractions 7587/197,1185/9872 is 3/1944784
Least Common Multiple of 197,9872 with GCF Formula
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 197,9872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,9872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,9872) x common factors =1 x 1 = 1
LCM(197,9872) = ( 197 × 9872 ) / 1
LCM(197,9872) = 1944784 / 1
LCM(197,9872) = 1944784
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7587/197, 1185/9872
1. What is the HCF of 7587,1185?
The HCF of 7587,1185 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 7587/197, 1185/9872?
Answer: GCF of Numerators as per given numbers 7587/197, 1185/9872 is
GCF of Numerators i.e. for 7587,1185 is 3
LCM of denominators i.e. for 197,9872 is 1944784.
Thus, GCF of Fractions is 3/1944784.Finally, GCF of Fractions for 7587/197, 1185/9872 is 3/1944784.