GCF of 7107/419, 9752/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7107/419, 9752/216 i.e 23/90504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7107/419, 9752/216.
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 7107/419,9752/216?
Given fractions are 7107/419,9752/216
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 7107/419,9752/216, numerators are 7107,9752
Denominators are 419,216
The GCF of 7107,9752 is 23 .
LCM of 419,216 is 90504.
The greatest common factor of 7107/419,9752/216 = [GCF of 7107,9752]/[LCM of 419,216]= 23/90504
Therefore, the GCF of 7107/419,9752/216 is 23/90504.
To find the highest common factor of 7107,9752, 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 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752
The HCF of 7107,9752 is 23.
Lets's calculate GCF of 7107,9752
| 23 | 7107, 9752 |
| 309, 424 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 7107,9752 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 9752
:1,2,4,8,23,46,53,92,106,184,212,424,1219,2438,4876,9752
Greatest Common Factor
We found the factors 7107,9752 . The biggest common factor number is the GCF number.
So the greatest common factor 7107,9752 is 23.
Lets's calculate LCM of 419,216
Given numbers has no common factors except 1. So, there LCM is their product i.e 90504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/90504
Therefore, the GCF of Fractions 7107/419,9752/216 is 23/90504
Least Common Multiple of 419,216 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 419,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,216) x common factors =1 x 1 = 1
LCM(419,216) = ( 419 × 216 ) / 1
LCM(419,216) = 90504 / 1
LCM(419,216) = 90504
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FAQs on GCF of Fractions of 7107/419, 9752/216
1. What is the HCF of 7107,9752?
The HCF of 7107,9752 is 23
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 7107/419, 9752/216?
Answer: GCF of Numerators as per given numbers 7107/419, 9752/216 is
GCF of Numerators i.e. for 7107,9752 is 23
LCM of denominators i.e. for 419,216 is 90504.
Thus, GCF of Fractions is 23/90504.Finally, GCF of Fractions for 7107/419, 9752/216 is 23/90504.