GCF of 7116/310, 2187/4600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7116/310, 2187/4600 i.e 3/142600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7116/310, 2187/4600.
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 7116/310,2187/4600?
Given fractions are 7116/310,2187/4600
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 7116/310,2187/4600, numerators are 7116,2187
Denominators are 310,4600
The GCF of 7116,2187 is 3 .
LCM of 310,4600 is 142600.
The greatest common factor of 7116/310,2187/4600 = [GCF of 7116,2187]/[LCM of 310,4600]= 3/142600
Therefore, the GCF of 7116/310,2187/4600 is 3/142600.
To find the highest common factor of 7116,2187, we have to find the factors of both numbers and list the highest common factor.
The factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187
The HCF of 7116,2187 is 3.
Lets's calculate GCF of 7116,2187
| 3 | 7116, 2187 |
| 2372, 729 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7116,2187 By Matching Biggest Common Factor Method
Now, list down the factors of 7116
:1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Now, list down the factors of 2187
:1,3,9,27,81,243,729,2187
Greatest Common Factor
We found the factors 7116,2187 . The biggest common factor number is the GCF number.
So the greatest common factor 7116,2187 is 3.
Lets's calculate LCM of 310,4600
| 2 | 310, 4600 |
| 5 | 155, 2300 |
| 31, 460 |
∴ So the LCM of the given numbers is 2 x 5 x 31 x 460 = 142600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/142600
Therefore, the GCF of Fractions 7116/310,2187/4600 is 3/142600
Least Common Multiple of 310,4600 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 310,4600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,4600) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(310,4600) x common factors =10 x 1 = 10
LCM(310,4600) = ( 310 × 4600 ) / 10
LCM(310,4600) = 1426000 / 10
LCM(310,4600) = 142600
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7116/310, 2187/4600
1. What is the HCF of 7116,2187?
The HCF of 7116,2187 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 7116/310, 2187/4600?
Answer: GCF of Numerators as per given numbers 7116/310, 2187/4600 is
GCF of Numerators i.e. for 7116,2187 is 3
LCM of denominators i.e. for 310,4600 is 142600.
Thus, GCF of Fractions is 3/142600.Finally, GCF of Fractions for 7116/310, 2187/4600 is 3/142600.