GCF of 7116/752, 3731/4592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7116/752, 3731/4592 i.e 1/215824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7116/752, 3731/4592.
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 7116/752,3731/4592?
Given fractions are 7116/752,3731/4592
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 7116/752,3731/4592, numerators are 7116,3731
Denominators are 752,4592
The GCF of 7116,3731 is 1 .
LCM of 752,4592 is 215824.
The greatest common factor of 7116/752,3731/4592 = [GCF of 7116,3731]/[LCM of 752,4592]= 1/215824
Therefore, the GCF of 7116/752,3731/4592 is 1/215824.
To find the highest common factor of 7116,3731, 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 3731 are 1, 7, 13, 41, 91, 287, 533, 3731
The HCF of 7116,3731 is 1.
Lets's calculate GCF of 7116,3731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7116,3731 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 3731
:1,7,13,41,91,287,533,3731
Greatest Common Factor
We found the factors 7116,3731 . The biggest common factor number is the GCF number.
So the greatest common factor 7116,3731 is 1.
Lets's calculate LCM of 752,4592
| 2 | 752, 4592 |
| 2 | 376, 2296 |
| 2 | 188, 1148 |
| 2 | 94, 574 |
| 47, 287 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 47 x 287 = 215824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215824
Therefore, the GCF of Fractions 7116/752,3731/4592 is 1/215824
Least Common Multiple of 752,4592 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 752,4592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,4592) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(752,4592) x common factors =16 x 1 = 16
LCM(752,4592) = ( 752 × 4592 ) / 16
LCM(752,4592) = 3453184 / 16
LCM(752,4592) = 215824
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FAQs on GCF of Fractions of 7116/752, 3731/4592
1. What is the HCF of 7116,3731?
The HCF of 7116,3731 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 7116/752, 3731/4592?
Answer: GCF of Numerators as per given numbers 7116/752, 3731/4592 is
GCF of Numerators i.e. for 7116,3731 is 1
LCM of denominators i.e. for 752,4592 is 215824.
Thus, GCF of Fractions is 1/215824.Finally, GCF of Fractions for 7116/752, 3731/4592 is 1/215824.