GCF of 1107/685, 4563/3260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1107/685, 4563/3260 i.e 27/446620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1107/685, 4563/3260.
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 1107/685,4563/3260?
Given fractions are 1107/685,4563/3260
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 1107/685,4563/3260, numerators are 1107,4563
Denominators are 685,3260
The GCF of 1107,4563 is 27 .
LCM of 685,3260 is 446620.
The greatest common factor of 1107/685,4563/3260 = [GCF of 1107,4563]/[LCM of 685,3260]= 27/446620
Therefore, the GCF of 1107/685,4563/3260 is 27/446620.
To find the highest common factor of 1107,4563, we have to find the factors of both numbers and list the highest common factor.
The factors of 1107 are 1, 3, 9, 27, 41, 123, 369, 1107
The factors of 4563 are 1, 3, 9, 13, 27, 39, 117, 169, 351, 507, 1521, 4563
The HCF of 1107,4563 is 27.
Lets's calculate GCF of 1107,4563
| 3 | 1107, 4563 |
| 3 | 369, 1521 |
| 3 | 123, 507 |
| 41, 169 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 1107,4563 By Matching Biggest Common Factor Method
Now, list down the factors of 1107
:1,3,9,27,41,123,369,1107
Now, list down the factors of 4563
:1,3,9,13,27,39,117,169,351,507,1521,4563
Greatest Common Factor
We found the factors 1107,4563 . The biggest common factor number is the GCF number.
So the greatest common factor 1107,4563 is 27.
Lets's calculate LCM of 685,3260
| 5 | 685, 3260 |
| 137, 652 |
∴ So the LCM of the given numbers is 5 x 137 x 652 = 446620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/446620
Therefore, the GCF of Fractions 1107/685,4563/3260 is 27/446620
Least Common Multiple of 685,3260 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 685,3260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,3260) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(685,3260) x common factors =5 x 1 = 5
LCM(685,3260) = ( 685 × 3260 ) / 5
LCM(685,3260) = 2233100 / 5
LCM(685,3260) = 446620
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FAQs on GCF of Fractions of 1107/685, 4563/3260
1. What is the HCF of 1107,4563?
The HCF of 1107,4563 is 27
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 1107/685, 4563/3260?
Answer: GCF of Numerators as per given numbers 1107/685, 4563/3260 is
GCF of Numerators i.e. for 1107,4563 is 27
LCM of denominators i.e. for 685,3260 is 446620.
Thus, GCF of Fractions is 27/446620.Finally, GCF of Fractions for 1107/685, 4563/3260 is 27/446620.