GCF of 339/67, 699/3122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 339/67, 699/3122 i.e 3/209174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/67, 699/3122.
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 339/67,699/3122?
Given fractions are 339/67,699/3122
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 339/67,699/3122, numerators are 339,699
Denominators are 67,3122
The GCF of 339,699 is 3 .
LCM of 67,3122 is 209174.
The greatest common factor of 339/67,699/3122 = [GCF of 339,699]/[LCM of 67,3122]= 3/209174
Therefore, the GCF of 339/67,699/3122 is 3/209174.
To find the highest common factor of 339,699, we have to find the factors of both numbers and list the highest common factor.
The factors of 339 are 1, 3, 113, 339
The factors of 699 are 1, 3, 233, 699
The HCF of 339,699 is 3.
Lets's calculate GCF of 339,699
| 3 | 339, 699 |
| 113, 233 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 339,699 By Matching Biggest Common Factor Method
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 699
:1,3,233,699
Greatest Common Factor
We found the factors 339,699 . The biggest common factor number is the GCF number.
So the greatest common factor 339,699 is 3.
Lets's calculate LCM of 67,3122
Given numbers has no common factors except 1. So, there LCM is their product i.e 209174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/209174
Therefore, the GCF of Fractions 339/67,699/3122 is 3/209174
Least Common Multiple of 67,3122 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 67,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,3122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,3122) x common factors =1 x 1 = 1
LCM(67,3122) = ( 67 × 3122 ) / 1
LCM(67,3122) = 209174 / 1
LCM(67,3122) = 209174
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FAQs on GCF of Fractions of 339/67, 699/3122
1. What is the HCF of 339,699?
The HCF of 339,699 is 3
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 339/67, 699/3122?
Answer: GCF of Numerators as per given numbers 339/67, 699/3122 is
GCF of Numerators i.e. for 339,699 is 3
LCM of denominators i.e. for 67,3122 is 209174.
Thus, GCF of Fractions is 3/209174.Finally, GCF of Fractions for 339/67, 699/3122 is 3/209174.