GCF of 7115/232, 9737/272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7115/232, 9737/272 i.e 1/7888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7115/232, 9737/272.
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 7115/232,9737/272?
Given fractions are 7115/232,9737/272
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 7115/232,9737/272, numerators are 7115,9737
Denominators are 232,272
The GCF of 7115,9737 is 1 .
LCM of 232,272 is 7888.
The greatest common factor of 7115/232,9737/272 = [GCF of 7115,9737]/[LCM of 232,272]= 1/7888
Therefore, the GCF of 7115/232,9737/272 is 1/7888.
To find the highest common factor of 7115,9737, we have to find the factors of both numbers and list the highest common factor.
The factors of 7115 are 1, 5, 1423, 7115
The factors of 9737 are 1, 7, 13, 91, 107, 749, 1391, 9737
The HCF of 7115,9737 is 1.
Lets's calculate GCF of 7115,9737
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7115,9737 By Matching Biggest Common Factor Method
Now, list down the factors of 7115
:1,5,1423,7115
Now, list down the factors of 9737
:1,7,13,91,107,749,1391,9737
Greatest Common Factor
We found the factors 7115,9737 . The biggest common factor number is the GCF number.
So the greatest common factor 7115,9737 is 1.
Lets's calculate LCM of 232,272
| 2 | 232, 272 |
| 2 | 116, 136 |
| 2 | 58, 68 |
| 29, 34 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 34 = 7888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7888
Therefore, the GCF of Fractions 7115/232,9737/272 is 1/7888
Least Common Multiple of 232,272 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 232,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,272) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(232,272) x common factors =8 x 1 = 8
LCM(232,272) = ( 232 × 272 ) / 8
LCM(232,272) = 63104 / 8
LCM(232,272) = 7888
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7115/232, 9737/272
1. What is the HCF of 7115,9737?
The HCF of 7115,9737 is 1
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 7115/232, 9737/272?
Answer: GCF of Numerators as per given numbers 7115/232, 9737/272 is
GCF of Numerators i.e. for 7115,9737 is 1
LCM of denominators i.e. for 232,272 is 7888.
Thus, GCF of Fractions is 1/7888.Finally, GCF of Fractions for 7115/232, 9737/272 is 1/7888.