GCF of 7737/628, 7116/133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7737/628, 7116/133 i.e 3/83524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7737/628, 7116/133.
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 7737/628,7116/133?
Given fractions are 7737/628,7116/133
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 7737/628,7116/133, numerators are 7737,7116
Denominators are 628,133
The GCF of 7737,7116 is 3 .
LCM of 628,133 is 83524.
The greatest common factor of 7737/628,7116/133 = [GCF of 7737,7116]/[LCM of 628,133]= 3/83524
Therefore, the GCF of 7737/628,7116/133 is 3/83524.
To find the highest common factor of 7737,7116, we have to find the factors of both numbers and list the highest common factor.
The factors of 7737 are 1, 3, 2579, 7737
The factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
The HCF of 7737,7116 is 3.
Lets's calculate GCF of 7737,7116
| 3 | 7737, 7116 |
| 2579, 2372 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7737,7116 By Matching Biggest Common Factor Method
Now, list down the factors of 7737
:1,3,2579,7737
Now, list down the factors of 7116
:1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Greatest Common Factor
We found the factors 7737,7116 . The biggest common factor number is the GCF number.
So the greatest common factor 7737,7116 is 3.
Lets's calculate LCM of 628,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 83524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83524
Therefore, the GCF of Fractions 7737/628,7116/133 is 3/83524
Least Common Multiple of 628,133 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 628,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,133) x common factors =1 x 1 = 1
LCM(628,133) = ( 628 × 133 ) / 1
LCM(628,133) = 83524 / 1
LCM(628,133) = 83524
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FAQs on GCF of Fractions of 7737/628, 7116/133
1. What is the HCF of 7737,7116?
The HCF of 7737,7116 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 7737/628, 7116/133?
Answer: GCF of Numerators as per given numbers 7737/628, 7116/133 is
GCF of Numerators i.e. for 7737,7116 is 3
LCM of denominators i.e. for 628,133 is 83524.
Thus, GCF of Fractions is 3/83524.Finally, GCF of Fractions for 7737/628, 7116/133 is 3/83524.