GCF of 7371/729, 1995/157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7371/729, 1995/157 i.e 21/114453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7371/729, 1995/157.
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 7371/729,1995/157?
Given fractions are 7371/729,1995/157
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 7371/729,1995/157, numerators are 7371,1995
Denominators are 729,157
The GCF of 7371,1995 is 21 .
LCM of 729,157 is 114453.
The greatest common factor of 7371/729,1995/157 = [GCF of 7371,1995]/[LCM of 729,157]= 21/114453
Therefore, the GCF of 7371/729,1995/157 is 21/114453.
To find the highest common factor of 7371,1995, we have to find the factors of both numbers and list the highest common factor.
The factors of 7371 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371
The factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995
The HCF of 7371,1995 is 21.
Lets's calculate GCF of 7371,1995
| 3 | 7371, 1995 |
| 7 | 2457, 665 |
| 351, 95 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 7371,1995 By Matching Biggest Common Factor Method
Now, list down the factors of 7371
:1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371
Now, list down the factors of 1995
:1,3,5,7,15,19,21,35,57,95,105,133,285,399,665,1995
Greatest Common Factor
We found the factors 7371,1995 . The biggest common factor number is the GCF number.
So the greatest common factor 7371,1995 is 21.
Lets's calculate LCM of 729,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 114453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/114453
Therefore, the GCF of Fractions 7371/729,1995/157 is 21/114453
Least Common Multiple of 729,157 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 729,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,157) x common factors =1 x 1 = 1
LCM(729,157) = ( 729 × 157 ) / 1
LCM(729,157) = 114453 / 1
LCM(729,157) = 114453
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FAQs on GCF of Fractions of 7371/729, 1995/157
1. What is the HCF of 7371,1995?
The HCF of 7371,1995 is 21
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 7371/729, 1995/157?
Answer: GCF of Numerators as per given numbers 7371/729, 1995/157 is
GCF of Numerators i.e. for 7371,1995 is 21
LCM of denominators i.e. for 729,157 is 114453.
Thus, GCF of Fractions is 21/114453.Finally, GCF of Fractions for 7371/729, 1995/157 is 21/114453.