GCF of 1598/320, 7999/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1598/320, 7999/815 i.e 1/52160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1598/320, 7999/815.
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 1598/320,7999/815?
Given fractions are 1598/320,7999/815
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 1598/320,7999/815, numerators are 1598,7999
Denominators are 320,815
The GCF of 1598,7999 is 1 .
LCM of 320,815 is 52160.
The greatest common factor of 1598/320,7999/815 = [GCF of 1598,7999]/[LCM of 320,815]= 1/52160
Therefore, the GCF of 1598/320,7999/815 is 1/52160.
To find the highest common factor of 1598,7999, we have to find the factors of both numbers and list the highest common factor.
The factors of 1598 are 1, 2, 17, 34, 47, 94, 799, 1598
The factors of 7999 are 1, 19, 421, 7999
The HCF of 1598,7999 is 1.
Lets's calculate GCF of 1598,7999
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1598,7999 By Matching Biggest Common Factor Method
Now, list down the factors of 1598
:1,2,17,34,47,94,799,1598
Now, list down the factors of 7999
:1,19,421,7999
Greatest Common Factor
We found the factors 1598,7999 . The biggest common factor number is the GCF number.
So the greatest common factor 1598,7999 is 1.
Lets's calculate LCM of 320,815
| 5 | 320, 815 |
| 64, 163 |
∴ So the LCM of the given numbers is 5 x 64 x 163 = 52160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52160
Therefore, the GCF of Fractions 1598/320,7999/815 is 1/52160
Least Common Multiple of 320,815 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 320,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,815) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(320,815) x common factors =5 x 1 = 5
LCM(320,815) = ( 320 × 815 ) / 5
LCM(320,815) = 260800 / 5
LCM(320,815) = 52160
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FAQs on GCF of Fractions of 1598/320, 7999/815
1. What is the HCF of 1598,7999?
The HCF of 1598,7999 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 1598/320, 7999/815?
Answer: GCF of Numerators as per given numbers 1598/320, 7999/815 is
GCF of Numerators i.e. for 1598,7999 is 1
LCM of denominators i.e. for 320,815 is 52160.
Thus, GCF of Fractions is 1/52160.Finally, GCF of Fractions for 1598/320, 7999/815 is 1/52160.