GCF of 437/766, 4415/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 437/766, 4415/815 i.e 1/624290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/766, 4415/815.
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 437/766,4415/815?
Given fractions are 437/766,4415/815
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 437/766,4415/815, numerators are 437,4415
Denominators are 766,815
The GCF of 437,4415 is 1 .
LCM of 766,815 is 624290.
The greatest common factor of 437/766,4415/815 = [GCF of 437,4415]/[LCM of 766,815]= 1/624290
Therefore, the GCF of 437/766,4415/815 is 1/624290.
To find the highest common factor of 437,4415, we have to find the factors of both numbers and list the highest common factor.
The factors of 437 are 1, 19, 23, 437
The factors of 4415 are 1, 5, 883, 4415
The HCF of 437,4415 is 1.
Lets's calculate GCF of 437,4415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 437,4415 By Matching Biggest Common Factor Method
Now, list down the factors of 437
:1,19,23,437
Now, list down the factors of 4415
:1,5,883,4415
Greatest Common Factor
We found the factors 437,4415 . The biggest common factor number is the GCF number.
So the greatest common factor 437,4415 is 1.
Lets's calculate LCM of 766,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 624290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624290
Therefore, the GCF of Fractions 437/766,4415/815 is 1/624290
Least Common Multiple of 766,815 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 766,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,815) x common factors =1 x 1 = 1
LCM(766,815) = ( 766 × 815 ) / 1
LCM(766,815) = 624290 / 1
LCM(766,815) = 624290
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FAQs on GCF of Fractions of 437/766, 4415/815
1. What is the HCF of 437,4415?
The HCF of 437,4415 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 437/766, 4415/815?
Answer: GCF of Numerators as per given numbers 437/766, 4415/815 is
GCF of Numerators i.e. for 437,4415 is 1
LCM of denominators i.e. for 766,815 is 624290.
Thus, GCF of Fractions is 1/624290.Finally, GCF of Fractions for 437/766, 4415/815 is 1/624290.