GCF of 8386/971, 9324/432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8386/971, 9324/432 i.e 14/419472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8386/971, 9324/432.
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 8386/971,9324/432?
Given fractions are 8386/971,9324/432
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 8386/971,9324/432, numerators are 8386,9324
Denominators are 971,432
The GCF of 8386,9324 is 14 .
LCM of 971,432 is 419472.
The greatest common factor of 8386/971,9324/432 = [GCF of 8386,9324]/[LCM of 971,432]= 14/419472
Therefore, the GCF of 8386/971,9324/432 is 14/419472.
To find the highest common factor of 8386,9324, we have to find the factors of both numbers and list the highest common factor.
The factors of 8386 are 1, 2, 7, 14, 599, 1198, 4193, 8386
The factors of 9324 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324
The HCF of 8386,9324 is 14.
Lets's calculate GCF of 8386,9324
| 2 | 8386, 9324 |
| 7 | 4193, 4662 |
| 599, 666 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 8386,9324 By Matching Biggest Common Factor Method
Now, list down the factors of 8386
:1,2,7,14,599,1198,4193,8386
Now, list down the factors of 9324
:1,2,3,4,6,7,9,12,14,18,21,28,36,37,42,63,74,84,111,126,148,222,252,259,333,444,518,666,777,1036,1332,1554,2331,3108,4662,9324
Greatest Common Factor
We found the factors 8386,9324 . The biggest common factor number is the GCF number.
So the greatest common factor 8386,9324 is 14.
Lets's calculate LCM of 971,432
Given numbers has no common factors except 1. So, there LCM is their product i.e 419472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/419472
Therefore, the GCF of Fractions 8386/971,9324/432 is 14/419472
Least Common Multiple of 971,432 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 971,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,432) x common factors =1 x 1 = 1
LCM(971,432) = ( 971 × 432 ) / 1
LCM(971,432) = 419472 / 1
LCM(971,432) = 419472
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FAQs on GCF of Fractions of 8386/971, 9324/432
1. What is the HCF of 8386,9324?
The HCF of 8386,9324 is 14
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 8386/971, 9324/432?
Answer: GCF of Numerators as per given numbers 8386/971, 9324/432 is
GCF of Numerators i.e. for 8386,9324 is 14
LCM of denominators i.e. for 971,432 is 419472.
Thus, GCF of Fractions is 14/419472.Finally, GCF of Fractions for 8386/971, 9324/432 is 14/419472.