GCF of 1297/463, 1469/6509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1297/463, 1469/6509 i.e 1/3013667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1297/463, 1469/6509.
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 1297/463,1469/6509?
Given fractions are 1297/463,1469/6509
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 1297/463,1469/6509, numerators are 1297,1469
Denominators are 463,6509
The GCF of 1297,1469 is 1 .
LCM of 463,6509 is 3013667.
The greatest common factor of 1297/463,1469/6509 = [GCF of 1297,1469]/[LCM of 463,6509]= 1/3013667
Therefore, the GCF of 1297/463,1469/6509 is 1/3013667.
To find the highest common factor of 1297,1469, we have to find the factors of both numbers and list the highest common factor.
The factors of 1297 are 1, 1297
The factors of 1469 are 1, 13, 113, 1469
The HCF of 1297,1469 is 1.
Lets's calculate GCF of 1297,1469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1297,1469 By Matching Biggest Common Factor Method
Now, list down the factors of 1297
:1,1297
Now, list down the factors of 1469
:1,13,113,1469
Greatest Common Factor
We found the factors 1297,1469 . The biggest common factor number is the GCF number.
So the greatest common factor 1297,1469 is 1.
Lets's calculate LCM of 463,6509
Given numbers has no common factors except 1. So, there LCM is their product i.e 3013667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3013667
Therefore, the GCF of Fractions 1297/463,1469/6509 is 1/3013667
Least Common Multiple of 463,6509 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 463,6509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,6509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,6509) x common factors =1 x 1 = 1
LCM(463,6509) = ( 463 × 6509 ) / 1
LCM(463,6509) = 3013667 / 1
LCM(463,6509) = 3013667
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FAQs on GCF of Fractions of 1297/463, 1469/6509
1. What is the HCF of 1297,1469?
The HCF of 1297,1469 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 1297/463, 1469/6509?
Answer: GCF of Numerators as per given numbers 1297/463, 1469/6509 is
GCF of Numerators i.e. for 1297,1469 is 1
LCM of denominators i.e. for 463,6509 is 3013667.
Thus, GCF of Fractions is 1/3013667.Finally, GCF of Fractions for 1297/463, 1469/6509 is 1/3013667.