GCF of 3489/584, 2706/7015
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3489/584, 2706/7015 i.e 3/4096760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3489/584, 2706/7015.
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 3489/584,2706/7015?
Given fractions are 3489/584,2706/7015
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 3489/584,2706/7015, numerators are 3489,2706
Denominators are 584,7015
The GCF of 3489,2706 is 3 .
LCM of 584,7015 is 4096760.
The greatest common factor of 3489/584,2706/7015 = [GCF of 3489,2706]/[LCM of 584,7015]= 3/4096760
Therefore, the GCF of 3489/584,2706/7015 is 3/4096760.
To find the highest common factor of 3489,2706, we have to find the factors of both numbers and list the highest common factor.
The factors of 3489 are 1, 3, 1163, 3489
The factors of 2706 are 1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706
The HCF of 3489,2706 is 3.
Lets's calculate GCF of 3489,2706
| 3 | 3489, 2706 |
| 1163, 902 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3489,2706 By Matching Biggest Common Factor Method
Now, list down the factors of 3489
:1,3,1163,3489
Now, list down the factors of 2706
:1,2,3,6,11,22,33,41,66,82,123,246,451,902,1353,2706
Greatest Common Factor
We found the factors 3489,2706 . The biggest common factor number is the GCF number.
So the greatest common factor 3489,2706 is 3.
Lets's calculate LCM of 584,7015
Given numbers has no common factors except 1. So, there LCM is their product i.e 4096760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4096760
Therefore, the GCF of Fractions 3489/584,2706/7015 is 3/4096760
Least Common Multiple of 584,7015 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 584,7015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,7015) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,7015) x common factors =1 x 1 = 1
LCM(584,7015) = ( 584 × 7015 ) / 1
LCM(584,7015) = 4096760 / 1
LCM(584,7015) = 4096760
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FAQs on GCF of Fractions of 3489/584, 2706/7015
1. What is the HCF of 3489,2706?
The HCF of 3489,2706 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 3489/584, 2706/7015?
Answer: GCF of Numerators as per given numbers 3489/584, 2706/7015 is
GCF of Numerators i.e. for 3489,2706 is 3
LCM of denominators i.e. for 584,7015 is 4096760.
Thus, GCF of Fractions is 3/4096760.Finally, GCF of Fractions for 3489/584, 2706/7015 is 3/4096760.