GCF of 814/15, 923/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 814/15, 923/207 i.e 1/1035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 814/15, 923/207.
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 814/15,923/207?
Given fractions are 814/15,923/207
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 814/15,923/207, numerators are 814,923
Denominators are 15,207
The GCF of 814,923 is 1 .
LCM of 15,207 is 1035.
The greatest common factor of 814/15,923/207 = [GCF of 814,923]/[LCM of 15,207]= 1/1035
Therefore, the GCF of 814/15,923/207 is 1/1035.
To find the highest common factor of 814,923, 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 923 are 1, 13, 71, 923
The HCF of 814,923 is 1.
Lets's calculate GCF of 814,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 814,923 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 923
:1,13,71,923
Greatest Common Factor
We found the factors 814,923 . The biggest common factor number is the GCF number.
So the greatest common factor 814,923 is 1.
Lets's calculate LCM of 15,207
| 3 | 15, 207 |
| 5, 69 |
∴ So the LCM of the given numbers is 3 x 5 x 69 = 1035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1035
Therefore, the GCF of Fractions 814/15,923/207 is 1/1035
Least Common Multiple of 15,207 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 15,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,207) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,207) x common factors =3 x 1 = 3
LCM(15,207) = ( 15 × 207 ) / 3
LCM(15,207) = 3105 / 3
LCM(15,207) = 1035
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FAQs on GCF of Fractions of 814/15, 923/207
1. What is the HCF of 814,923?
The HCF of 814,923 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 814/15, 923/207?
Answer: GCF of Numerators as per given numbers 814/15, 923/207 is
GCF of Numerators i.e. for 814,923 is 1
LCM of denominators i.e. for 15,207 is 1035.
Thus, GCF of Fractions is 1/1035.Finally, GCF of Fractions for 814/15, 923/207 is 1/1035.