GCF of 8126/978, 1598/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8126/978, 1598/159 i.e 34/51834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8126/978, 1598/159.
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 8126/978,1598/159?
Given fractions are 8126/978,1598/159
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 8126/978,1598/159, numerators are 8126,1598
Denominators are 978,159
The GCF of 8126,1598 is 34 .
LCM of 978,159 is 51834.
The greatest common factor of 8126/978,1598/159 = [GCF of 8126,1598]/[LCM of 978,159]= 34/51834
Therefore, the GCF of 8126/978,1598/159 is 34/51834.
To find the highest common factor of 8126,1598, we have to find the factors of both numbers and list the highest common factor.
The factors of 8126 are 1, 2, 17, 34, 239, 478, 4063, 8126
The factors of 1598 are 1, 2, 17, 34, 47, 94, 799, 1598
The HCF of 8126,1598 is 34.
Lets's calculate GCF of 8126,1598
| 2 | 8126, 1598 |
| 17 | 4063, 799 |
| 239, 47 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 8126,1598 By Matching Biggest Common Factor Method
Now, list down the factors of 8126
:1,2,17,34,239,478,4063,8126
Now, list down the factors of 1598
:1,2,17,34,47,94,799,1598
Greatest Common Factor
We found the factors 8126,1598 . The biggest common factor number is the GCF number.
So the greatest common factor 8126,1598 is 34.
Lets's calculate LCM of 978,159
| 3 | 978, 159 |
| 326, 53 |
∴ So the LCM of the given numbers is 3 x 326 x 53 = 51834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/51834
Therefore, the GCF of Fractions 8126/978,1598/159 is 34/51834
Least Common Multiple of 978,159 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 978,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,159) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(978,159) x common factors =3 x 1 = 3
LCM(978,159) = ( 978 × 159 ) / 3
LCM(978,159) = 155502 / 3
LCM(978,159) = 51834
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FAQs on GCF of Fractions of 8126/978, 1598/159
1. What is the HCF of 8126,1598?
The HCF of 8126,1598 is 34
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 8126/978, 1598/159?
Answer: GCF of Numerators as per given numbers 8126/978, 1598/159 is
GCF of Numerators i.e. for 8126,1598 is 34
LCM of denominators i.e. for 978,159 is 51834.
Thus, GCF of Fractions is 34/51834.Finally, GCF of Fractions for 8126/978, 1598/159 is 34/51834.