GCF of 3940/765, 6614/1722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3940/765, 6614/1722 i.e 2/439110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3940/765, 6614/1722.
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 3940/765,6614/1722?
Given fractions are 3940/765,6614/1722
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 3940/765,6614/1722, numerators are 3940,6614
Denominators are 765,1722
The GCF of 3940,6614 is 2 .
LCM of 765,1722 is 439110.
The greatest common factor of 3940/765,6614/1722 = [GCF of 3940,6614]/[LCM of 765,1722]= 2/439110
Therefore, the GCF of 3940/765,6614/1722 is 2/439110.
To find the highest common factor of 3940,6614, we have to find the factors of both numbers and list the highest common factor.
The factors of 3940 are 1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940
The factors of 6614 are 1, 2, 3307, 6614
The HCF of 3940,6614 is 2.
Lets's calculate GCF of 3940,6614
| 2 | 3940, 6614 |
| 1970, 3307 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3940,6614 By Matching Biggest Common Factor Method
Now, list down the factors of 3940
:1,2,4,5,10,20,197,394,788,985,1970,3940
Now, list down the factors of 6614
:1,2,3307,6614
Greatest Common Factor
We found the factors 3940,6614 . The biggest common factor number is the GCF number.
So the greatest common factor 3940,6614 is 2.
Lets's calculate LCM of 765,1722
| 3 | 765, 1722 |
| 255, 574 |
∴ So the LCM of the given numbers is 3 x 255 x 574 = 439110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/439110
Therefore, the GCF of Fractions 3940/765,6614/1722 is 2/439110
Least Common Multiple of 765,1722 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 765,1722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,1722) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(765,1722) x common factors =3 x 1 = 3
LCM(765,1722) = ( 765 × 1722 ) / 3
LCM(765,1722) = 1317330 / 3
LCM(765,1722) = 439110
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FAQs on GCF of Fractions of 3940/765, 6614/1722
1. What is the HCF of 3940,6614?
The HCF of 3940,6614 is 2
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 3940/765, 6614/1722?
Answer: GCF of Numerators as per given numbers 3940/765, 6614/1722 is
GCF of Numerators i.e. for 3940,6614 is 2
LCM of denominators i.e. for 765,1722 is 439110.
Thus, GCF of Fractions is 2/439110.Finally, GCF of Fractions for 3940/765, 6614/1722 is 2/439110.