GCF of 1691/501, 1455/501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1691/501, 1455/501 i.e 1/501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1691/501, 1455/501.
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 1691/501,1455/501?
Given fractions are 1691/501,1455/501
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 1691/501,1455/501, numerators are 1691,1455
Denominators are 501,501
The GCF of 1691,1455 is 1 .
LCM of 501,501 is 501.
The greatest common factor of 1691/501,1455/501 = [GCF of 1691,1455]/[LCM of 501,501]= 1/501
Therefore, the GCF of 1691/501,1455/501 is 1/501.
To find the highest common factor of 1691,1455, we have to find the factors of both numbers and list the highest common factor.
The factors of 1691 are 1, 19, 89, 1691
The factors of 1455 are 1, 3, 5, 15, 97, 291, 485, 1455
The HCF of 1691,1455 is 1.
Lets's calculate GCF of 1691,1455
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1691,1455 By Matching Biggest Common Factor Method
Now, list down the factors of 1691
:1,19,89,1691
Now, list down the factors of 1455
:1,3,5,15,97,291,485,1455
Greatest Common Factor
We found the factors 1691,1455 . The biggest common factor number is the GCF number.
So the greatest common factor 1691,1455 is 1.
Lets's calculate LCM of 501,501
| 3 | 501, 501 |
| 167 | 167, 167 |
| 1, 1 |
∴ So the LCM of the given numbers is 3 x 167 x 1 x 1 = 501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501
Therefore, the GCF of Fractions 1691/501,1455/501 is 1/501
Least Common Multiple of 501,501 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 501,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,501) = 501
common factors(in case of two or more numbers have common factors) = 1
GCF(501,501) x common factors =501 x 1 = 501
LCM(501,501) = ( 501 × 501 ) / 501
LCM(501,501) = 251001 / 501
LCM(501,501) = 501
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FAQs on GCF of Fractions of 1691/501, 1455/501
1. What is the HCF of 1691,1455?
The HCF of 1691,1455 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 1691/501, 1455/501?
Answer: GCF of Numerators as per given numbers 1691/501, 1455/501 is
GCF of Numerators i.e. for 1691,1455 is 1
LCM of denominators i.e. for 501,501 is 501.
Thus, GCF of Fractions is 1/501.Finally, GCF of Fractions for 1691/501, 1455/501 is 1/501.