GCF of 950/595, 1415/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 950/595, 1415/721 i.e 5/61285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/595, 1415/721.
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 950/595,1415/721?
Given fractions are 950/595,1415/721
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 950/595,1415/721, numerators are 950,1415
Denominators are 595,721
The GCF of 950,1415 is 5 .
LCM of 595,721 is 61285.
The greatest common factor of 950/595,1415/721 = [GCF of 950,1415]/[LCM of 595,721]= 5/61285
Therefore, the GCF of 950/595,1415/721 is 5/61285.
To find the highest common factor of 950,1415, we have to find the factors of both numbers and list the highest common factor.
The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
The factors of 1415 are 1, 5, 283, 1415
The HCF of 950,1415 is 5.
Lets's calculate GCF of 950,1415
| 5 | 950, 1415 |
| 190, 283 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 950,1415 By Matching Biggest Common Factor Method
Now, list down the factors of 950
:1,2,5,10,19,25,38,50,95,190,475,950
Now, list down the factors of 1415
:1,5,283,1415
Greatest Common Factor
We found the factors 950,1415 . The biggest common factor number is the GCF number.
So the greatest common factor 950,1415 is 5.
Lets's calculate LCM of 595,721
| 7 | 595, 721 |
| 85, 103 |
∴ So the LCM of the given numbers is 7 x 85 x 103 = 61285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/61285
Therefore, the GCF of Fractions 950/595,1415/721 is 5/61285
Least Common Multiple of 595,721 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 595,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,721) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(595,721) x common factors =7 x 1 = 7
LCM(595,721) = ( 595 × 721 ) / 7
LCM(595,721) = 428995 / 7
LCM(595,721) = 61285
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FAQs on GCF of Fractions of 950/595, 1415/721
1. What is the HCF of 950,1415?
The HCF of 950,1415 is 5
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 950/595, 1415/721?
Answer: GCF of Numerators as per given numbers 950/595, 1415/721 is
GCF of Numerators i.e. for 950,1415 is 5
LCM of denominators i.e. for 595,721 is 61285.
Thus, GCF of Fractions is 5/61285.Finally, GCF of Fractions for 950/595, 1415/721 is 5/61285.