GCF of 285/936, 7415/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 285/936, 7415/914 i.e 5/427752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 285/936, 7415/914.
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 285/936,7415/914?
Given fractions are 285/936,7415/914
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 285/936,7415/914, numerators are 285,7415
Denominators are 936,914
The GCF of 285,7415 is 5 .
LCM of 936,914 is 427752.
The greatest common factor of 285/936,7415/914 = [GCF of 285,7415]/[LCM of 936,914]= 5/427752
Therefore, the GCF of 285/936,7415/914 is 5/427752.
To find the highest common factor of 285,7415, we have to find the factors of both numbers and list the highest common factor.
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The factors of 7415 are 1, 5, 1483, 7415
The HCF of 285,7415 is 5.
Lets's calculate GCF of 285,7415
| 5 | 285, 7415 |
| 57, 1483 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 285,7415 By Matching Biggest Common Factor Method
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Now, list down the factors of 7415
:1,5,1483,7415
Greatest Common Factor
We found the factors 285,7415 . The biggest common factor number is the GCF number.
So the greatest common factor 285,7415 is 5.
Lets's calculate LCM of 936,914
| 2 | 936, 914 |
| 468, 457 |
∴ So the LCM of the given numbers is 2 x 468 x 457 = 427752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/427752
Therefore, the GCF of Fractions 285/936,7415/914 is 5/427752
Least Common Multiple of 936,914 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 936,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(936,914) x common factors =2 x 1 = 2
LCM(936,914) = ( 936 × 914 ) / 2
LCM(936,914) = 855504 / 2
LCM(936,914) = 427752
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FAQs on GCF of Fractions of 285/936, 7415/914
1. What is the HCF of 285,7415?
The HCF of 285,7415 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 285/936, 7415/914?
Answer: GCF of Numerators as per given numbers 285/936, 7415/914 is
GCF of Numerators i.e. for 285,7415 is 5
LCM of denominators i.e. for 936,914 is 427752.
Thus, GCF of Fractions is 5/427752.Finally, GCF of Fractions for 285/936, 7415/914 is 5/427752.