GCF of 9592/903, 8514/1438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9592/903, 8514/1438 i.e 22/1298514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9592/903, 8514/1438.
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 9592/903,8514/1438?
Given fractions are 9592/903,8514/1438
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 9592/903,8514/1438, numerators are 9592,8514
Denominators are 903,1438
The GCF of 9592,8514 is 22 .
LCM of 903,1438 is 1298514.
The greatest common factor of 9592/903,8514/1438 = [GCF of 9592,8514]/[LCM of 903,1438]= 22/1298514
Therefore, the GCF of 9592/903,8514/1438 is 22/1298514.
To find the highest common factor of 9592,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 9592 are 1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592
The factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
The HCF of 9592,8514 is 22.
Lets's calculate GCF of 9592,8514
| 2 | 9592, 8514 |
| 11 | 4796, 4257 |
| 436, 387 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 9592,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 9592
:1,2,4,8,11,22,44,88,109,218,436,872,1199,2398,4796,9592
Now, list down the factors of 8514
:1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514
Greatest Common Factor
We found the factors 9592,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 9592,8514 is 22.
Lets's calculate LCM of 903,1438
Given numbers has no common factors except 1. So, there LCM is their product i.e 1298514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1298514
Therefore, the GCF of Fractions 9592/903,8514/1438 is 22/1298514
Least Common Multiple of 903,1438 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 903,1438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,1438) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,1438) x common factors =1 x 1 = 1
LCM(903,1438) = ( 903 × 1438 ) / 1
LCM(903,1438) = 1298514 / 1
LCM(903,1438) = 1298514
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FAQs on GCF of Fractions of 9592/903, 8514/1438
1. What is the HCF of 9592,8514?
The HCF of 9592,8514 is 22
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 9592/903, 8514/1438?
Answer: GCF of Numerators as per given numbers 9592/903, 8514/1438 is
GCF of Numerators i.e. for 9592,8514 is 22
LCM of denominators i.e. for 903,1438 is 1298514.
Thus, GCF of Fractions is 22/1298514.Finally, GCF of Fractions for 9592/903, 8514/1438 is 22/1298514.