GCF of 1394/987, 9512/5009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1394/987, 9512/5009 i.e 82/4943883 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1394/987, 9512/5009.
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 1394/987,9512/5009?
Given fractions are 1394/987,9512/5009
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 1394/987,9512/5009, numerators are 1394,9512
Denominators are 987,5009
The GCF of 1394,9512 is 82 .
LCM of 987,5009 is 4943883.
The greatest common factor of 1394/987,9512/5009 = [GCF of 1394,9512]/[LCM of 987,5009]= 82/4943883
Therefore, the GCF of 1394/987,9512/5009 is 82/4943883.
To find the highest common factor of 1394,9512, we have to find the factors of both numbers and list the highest common factor.
The factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394
The factors of 9512 are 1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512
The HCF of 1394,9512 is 82.
Lets's calculate GCF of 1394,9512
| 2 | 1394, 9512 |
| 41 | 697, 4756 |
| 17, 116 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Greatest Common Factor of 1394,9512 By Matching Biggest Common Factor Method
Now, list down the factors of 1394
:1,2,17,34,41,82,697,1394
Now, list down the factors of 9512
:1,2,4,8,29,41,58,82,116,164,232,328,1189,2378,4756,9512
Greatest Common Factor
We found the factors 1394,9512 . The biggest common factor number is the GCF number.
So the greatest common factor 1394,9512 is 82.
Lets's calculate LCM of 987,5009
Given numbers has no common factors except 1. So, there LCM is their product i.e 4943883
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/4943883
Therefore, the GCF of Fractions 1394/987,9512/5009 is 82/4943883
Least Common Multiple of 987,5009 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 987,5009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,5009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,5009) x common factors =1 x 1 = 1
LCM(987,5009) = ( 987 × 5009 ) / 1
LCM(987,5009) = 4943883 / 1
LCM(987,5009) = 4943883
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FAQs on GCF of Fractions of 1394/987, 9512/5009
1. What is the HCF of 1394,9512?
The HCF of 1394,9512 is 82
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 1394/987, 9512/5009?
Answer: GCF of Numerators as per given numbers 1394/987, 9512/5009 is
GCF of Numerators i.e. for 1394,9512 is 82
LCM of denominators i.e. for 987,5009 is 4943883.
Thus, GCF of Fractions is 82/4943883.Finally, GCF of Fractions for 1394/987, 9512/5009 is 82/4943883.