GCF of 3019/849, 5805/3671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3019/849, 5805/3671 i.e 1/3116679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3019/849, 5805/3671.
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 3019/849,5805/3671?
Given fractions are 3019/849,5805/3671
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 3019/849,5805/3671, numerators are 3019,5805
Denominators are 849,3671
The GCF of 3019,5805 is 1 .
LCM of 849,3671 is 3116679.
The greatest common factor of 3019/849,5805/3671 = [GCF of 3019,5805]/[LCM of 849,3671]= 1/3116679
Therefore, the GCF of 3019/849,5805/3671 is 1/3116679.
To find the highest common factor of 3019,5805, we have to find the factors of both numbers and list the highest common factor.
The factors of 3019 are 1, 3019
The factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805
The HCF of 3019,5805 is 1.
Lets's calculate GCF of 3019,5805
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3019,5805 By Matching Biggest Common Factor Method
Now, list down the factors of 3019
:1,3019
Now, list down the factors of 5805
:1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Greatest Common Factor
We found the factors 3019,5805 . The biggest common factor number is the GCF number.
So the greatest common factor 3019,5805 is 1.
Lets's calculate LCM of 849,3671
Given numbers has no common factors except 1. So, there LCM is their product i.e 3116679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3116679
Therefore, the GCF of Fractions 3019/849,5805/3671 is 1/3116679
Least Common Multiple of 849,3671 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 849,3671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,3671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,3671) x common factors =1 x 1 = 1
LCM(849,3671) = ( 849 × 3671 ) / 1
LCM(849,3671) = 3116679 / 1
LCM(849,3671) = 3116679
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FAQs on GCF of Fractions of 3019/849, 5805/3671
1. What is the HCF of 3019,5805?
The HCF of 3019,5805 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 3019/849, 5805/3671?
Answer: GCF of Numerators as per given numbers 3019/849, 5805/3671 is
GCF of Numerators i.e. for 3019,5805 is 1
LCM of denominators i.e. for 849,3671 is 3116679.
Thus, GCF of Fractions is 1/3116679.Finally, GCF of Fractions for 3019/849, 5805/3671 is 1/3116679.