GCF of 598/503, 6982/6369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 598/503, 6982/6369 i.e 2/3203607 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/503, 6982/6369.
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 598/503,6982/6369?
Given fractions are 598/503,6982/6369
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 598/503,6982/6369, numerators are 598,6982
Denominators are 503,6369
The GCF of 598,6982 is 2 .
LCM of 503,6369 is 3203607.
The greatest common factor of 598/503,6982/6369 = [GCF of 598,6982]/[LCM of 503,6369]= 2/3203607
Therefore, the GCF of 598/503,6982/6369 is 2/3203607.
To find the highest common factor of 598,6982, we have to find the factors of both numbers and list the highest common factor.
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 6982 are 1, 2, 3491, 6982
The HCF of 598,6982 is 2.
Lets's calculate GCF of 598,6982
| 2 | 598, 6982 |
| 299, 3491 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 598,6982 By Matching Biggest Common Factor Method
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 6982
:1,2,3491,6982
Greatest Common Factor
We found the factors 598,6982 . The biggest common factor number is the GCF number.
So the greatest common factor 598,6982 is 2.
Lets's calculate LCM of 503,6369
Given numbers has no common factors except 1. So, there LCM is their product i.e 3203607
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3203607
Therefore, the GCF of Fractions 598/503,6982/6369 is 2/3203607
Least Common Multiple of 503,6369 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 503,6369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,6369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,6369) x common factors =1 x 1 = 1
LCM(503,6369) = ( 503 × 6369 ) / 1
LCM(503,6369) = 3203607 / 1
LCM(503,6369) = 3203607
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FAQs on GCF of Fractions of 598/503, 6982/6369
1. What is the HCF of 598,6982?
The HCF of 598,6982 is 2
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 598/503, 6982/6369?
Answer: GCF of Numerators as per given numbers 598/503, 6982/6369 is
GCF of Numerators i.e. for 598,6982 is 2
LCM of denominators i.e. for 503,6369 is 3203607.
Thus, GCF of Fractions is 2/3203607.Finally, GCF of Fractions for 598/503, 6982/6369 is 2/3203607.