GCF of 1339/552, 6981/1517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1339/552, 6981/1517 i.e 13/837384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1339/552, 6981/1517.
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 1339/552,6981/1517?
Given fractions are 1339/552,6981/1517
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 1339/552,6981/1517, numerators are 1339,6981
Denominators are 552,1517
The GCF of 1339,6981 is 13 .
LCM of 552,1517 is 837384.
The greatest common factor of 1339/552,6981/1517 = [GCF of 1339,6981]/[LCM of 552,1517]= 13/837384
Therefore, the GCF of 1339/552,6981/1517 is 13/837384.
To find the highest common factor of 1339,6981, we have to find the factors of both numbers and list the highest common factor.
The factors of 1339 are 1, 13, 103, 1339
The factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981
The HCF of 1339,6981 is 13.
Lets's calculate GCF of 1339,6981
| 13 | 1339, 6981 |
| 103, 537 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1339,6981 By Matching Biggest Common Factor Method
Now, list down the factors of 1339
:1,13,103,1339
Now, list down the factors of 6981
:1,3,13,39,179,537,2327,6981
Greatest Common Factor
We found the factors 1339,6981 . The biggest common factor number is the GCF number.
So the greatest common factor 1339,6981 is 13.
Lets's calculate LCM of 552,1517
Given numbers has no common factors except 1. So, there LCM is their product i.e 837384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/837384
Therefore, the GCF of Fractions 1339/552,6981/1517 is 13/837384
Least Common Multiple of 552,1517 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 552,1517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,1517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(552,1517) x common factors =1 x 1 = 1
LCM(552,1517) = ( 552 × 1517 ) / 1
LCM(552,1517) = 837384 / 1
LCM(552,1517) = 837384
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FAQs on GCF of Fractions of 1339/552, 6981/1517
1. What is the HCF of 1339,6981?
The HCF of 1339,6981 is 13
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 1339/552, 6981/1517?
Answer: GCF of Numerators as per given numbers 1339/552, 6981/1517 is
GCF of Numerators i.e. for 1339,6981 is 13
LCM of denominators i.e. for 552,1517 is 837384.
Thus, GCF of Fractions is 13/837384.Finally, GCF of Fractions for 1339/552, 6981/1517 is 13/837384.