GCF of 7107/993, 2124/2200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7107/993, 2124/2200 i.e 3/2184600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7107/993, 2124/2200.
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 7107/993,2124/2200?
Given fractions are 7107/993,2124/2200
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 7107/993,2124/2200, numerators are 7107,2124
Denominators are 993,2200
The GCF of 7107,2124 is 3 .
LCM of 993,2200 is 2184600.
The greatest common factor of 7107/993,2124/2200 = [GCF of 7107,2124]/[LCM of 993,2200]= 3/2184600
Therefore, the GCF of 7107/993,2124/2200 is 3/2184600.
To find the highest common factor of 7107,2124, we have to find the factors of both numbers and list the highest common factor.
The factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107
The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124
The HCF of 7107,2124 is 3.
Lets's calculate GCF of 7107,2124
| 3 | 7107, 2124 |
| 2369, 708 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7107,2124 By Matching Biggest Common Factor Method
Now, list down the factors of 7107
:1,3,23,69,103,309,2369,7107
Now, list down the factors of 2124
:1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Greatest Common Factor
We found the factors 7107,2124 . The biggest common factor number is the GCF number.
So the greatest common factor 7107,2124 is 3.
Lets's calculate LCM of 993,2200
Given numbers has no common factors except 1. So, there LCM is their product i.e 2184600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2184600
Therefore, the GCF of Fractions 7107/993,2124/2200 is 3/2184600
Least Common Multiple of 993,2200 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 993,2200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,2200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,2200) x common factors =1 x 1 = 1
LCM(993,2200) = ( 993 × 2200 ) / 1
LCM(993,2200) = 2184600 / 1
LCM(993,2200) = 2184600
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7107/993, 2124/2200
1. What is the HCF of 7107,2124?
The HCF of 7107,2124 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 7107/993, 2124/2200?
Answer: GCF of Numerators as per given numbers 7107/993, 2124/2200 is
GCF of Numerators i.e. for 7107,2124 is 3
LCM of denominators i.e. for 993,2200 is 2184600.
Thus, GCF of Fractions is 3/2184600.Finally, GCF of Fractions for 7107/993, 2124/2200 is 3/2184600.