GCF of 8159/534, 2976/1317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8159/534, 2976/1317 i.e 1/234426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8159/534, 2976/1317.
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 8159/534,2976/1317?
Given fractions are 8159/534,2976/1317
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 8159/534,2976/1317, numerators are 8159,2976
Denominators are 534,1317
The GCF of 8159,2976 is 1 .
LCM of 534,1317 is 234426.
The greatest common factor of 8159/534,2976/1317 = [GCF of 8159,2976]/[LCM of 534,1317]= 1/234426
Therefore, the GCF of 8159/534,2976/1317 is 1/234426.
To find the highest common factor of 8159,2976, we have to find the factors of both numbers and list the highest common factor.
The factors of 8159 are 1, 41, 199, 8159
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976
The HCF of 8159,2976 is 1.
Lets's calculate GCF of 8159,2976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8159,2976 By Matching Biggest Common Factor Method
Now, list down the factors of 8159
:1,41,199,8159
Now, list down the factors of 2976
:1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976
Greatest Common Factor
We found the factors 8159,2976 . The biggest common factor number is the GCF number.
So the greatest common factor 8159,2976 is 1.
Lets's calculate LCM of 534,1317
| 3 | 534, 1317 |
| 178, 439 |
∴ So the LCM of the given numbers is 3 x 178 x 439 = 234426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234426
Therefore, the GCF of Fractions 8159/534,2976/1317 is 1/234426
Least Common Multiple of 534,1317 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 534,1317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,1317) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(534,1317) x common factors =3 x 1 = 3
LCM(534,1317) = ( 534 × 1317 ) / 3
LCM(534,1317) = 703278 / 3
LCM(534,1317) = 234426
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FAQs on GCF of Fractions of 8159/534, 2976/1317
1. What is the HCF of 8159,2976?
The HCF of 8159,2976 is 1
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 8159/534, 2976/1317?
Answer: GCF of Numerators as per given numbers 8159/534, 2976/1317 is
GCF of Numerators i.e. for 8159,2976 is 1
LCM of denominators i.e. for 534,1317 is 234426.
Thus, GCF of Fractions is 1/234426.Finally, GCF of Fractions for 8159/534, 2976/1317 is 1/234426.