GCF of 814/52, 697/1655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 814/52, 697/1655 i.e 1/86060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 814/52, 697/1655.
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 814/52,697/1655?
Given fractions are 814/52,697/1655
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 814/52,697/1655, numerators are 814,697
Denominators are 52,1655
The GCF of 814,697 is 1 .
LCM of 52,1655 is 86060.
The greatest common factor of 814/52,697/1655 = [GCF of 814,697]/[LCM of 52,1655]= 1/86060
Therefore, the GCF of 814/52,697/1655 is 1/86060.
To find the highest common factor of 814,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The factors of 697 are 1, 17, 41, 697
The HCF of 814,697 is 1.
Lets's calculate GCF of 814,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 814,697 By Matching Biggest Common Factor Method
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 814,697 . The biggest common factor number is the GCF number.
So the greatest common factor 814,697 is 1.
Lets's calculate LCM of 52,1655
Given numbers has no common factors except 1. So, there LCM is their product i.e 86060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86060
Therefore, the GCF of Fractions 814/52,697/1655 is 1/86060
Least Common Multiple of 52,1655 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 52,1655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,1655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,1655) x common factors =1 x 1 = 1
LCM(52,1655) = ( 52 × 1655 ) / 1
LCM(52,1655) = 86060 / 1
LCM(52,1655) = 86060
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FAQs on GCF of Fractions of 814/52, 697/1655
1. What is the HCF of 814,697?
The HCF of 814,697 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 814/52, 697/1655?
Answer: GCF of Numerators as per given numbers 814/52, 697/1655 is
GCF of Numerators i.e. for 814,697 is 1
LCM of denominators i.e. for 52,1655 is 86060.
Thus, GCF of Fractions is 1/86060.Finally, GCF of Fractions for 814/52, 697/1655 is 1/86060.