GCF of 5962/582, 3132/7825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5962/582, 3132/7825 i.e 2/4554150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5962/582, 3132/7825.
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 5962/582,3132/7825?
Given fractions are 5962/582,3132/7825
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 5962/582,3132/7825, numerators are 5962,3132
Denominators are 582,7825
The GCF of 5962,3132 is 2 .
LCM of 582,7825 is 4554150.
The greatest common factor of 5962/582,3132/7825 = [GCF of 5962,3132]/[LCM of 582,7825]= 2/4554150
Therefore, the GCF of 5962/582,3132/7825 is 2/4554150.
To find the highest common factor of 5962,3132, we have to find the factors of both numbers and list the highest common factor.
The factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962
The factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132
The HCF of 5962,3132 is 2.
Lets's calculate GCF of 5962,3132
| 2 | 5962, 3132 |
| 2981, 1566 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5962,3132 By Matching Biggest Common Factor Method
Now, list down the factors of 5962
:1,2,11,22,271,542,2981,5962
Now, list down the factors of 3132
:1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132
Greatest Common Factor
We found the factors 5962,3132 . The biggest common factor number is the GCF number.
So the greatest common factor 5962,3132 is 2.
Lets's calculate LCM of 582,7825
Given numbers has no common factors except 1. So, there LCM is their product i.e 4554150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4554150
Therefore, the GCF of Fractions 5962/582,3132/7825 is 2/4554150
Least Common Multiple of 582,7825 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 582,7825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,7825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,7825) x common factors =1 x 1 = 1
LCM(582,7825) = ( 582 × 7825 ) / 1
LCM(582,7825) = 4554150 / 1
LCM(582,7825) = 4554150
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FAQs on GCF of Fractions of 5962/582, 3132/7825
1. What is the HCF of 5962,3132?
The HCF of 5962,3132 is 2
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 5962/582, 3132/7825?
Answer: GCF of Numerators as per given numbers 5962/582, 3132/7825 is
GCF of Numerators i.e. for 5962,3132 is 2
LCM of denominators i.e. for 582,7825 is 4554150.
Thus, GCF of Fractions is 2/4554150.Finally, GCF of Fractions for 5962/582, 3132/7825 is 2/4554150.