GCF of 3139/589, 3372/594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3139/589, 3372/594 i.e 1/349866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3139/589, 3372/594.
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 3139/589,3372/594?
Given fractions are 3139/589,3372/594
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 3139/589,3372/594, numerators are 3139,3372
Denominators are 589,594
The GCF of 3139,3372 is 1 .
LCM of 589,594 is 349866.
The greatest common factor of 3139/589,3372/594 = [GCF of 3139,3372]/[LCM of 589,594]= 1/349866
Therefore, the GCF of 3139/589,3372/594 is 1/349866.
To find the highest common factor of 3139,3372, we have to find the factors of both numbers and list the highest common factor.
The factors of 3139 are 1, 43, 73, 3139
The factors of 3372 are 1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372
The HCF of 3139,3372 is 1.
Lets's calculate GCF of 3139,3372
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3139,3372 By Matching Biggest Common Factor Method
Now, list down the factors of 3139
:1,43,73,3139
Now, list down the factors of 3372
:1,2,3,4,6,12,281,562,843,1124,1686,3372
Greatest Common Factor
We found the factors 3139,3372 . The biggest common factor number is the GCF number.
So the greatest common factor 3139,3372 is 1.
Lets's calculate LCM of 589,594
Given numbers has no common factors except 1. So, there LCM is their product i.e 349866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349866
Therefore, the GCF of Fractions 3139/589,3372/594 is 1/349866
Least Common Multiple of 589,594 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 589,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,594) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,594) x common factors =1 x 1 = 1
LCM(589,594) = ( 589 × 594 ) / 1
LCM(589,594) = 349866 / 1
LCM(589,594) = 349866
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FAQs on GCF of Fractions of 3139/589, 3372/594
1. What is the HCF of 3139,3372?
The HCF of 3139,3372 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 3139/589, 3372/594?
Answer: GCF of Numerators as per given numbers 3139/589, 3372/594 is
GCF of Numerators i.e. for 3139,3372 is 1
LCM of denominators i.e. for 589,594 is 349866.
Thus, GCF of Fractions is 1/349866.Finally, GCF of Fractions for 3139/589, 3372/594 is 1/349866.