GCF of 1539/849, 7682/7614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1539/849, 7682/7614 i.e 1/2154762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1539/849, 7682/7614.
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 1539/849,7682/7614?
Given fractions are 1539/849,7682/7614
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 1539/849,7682/7614, numerators are 1539,7682
Denominators are 849,7614
The GCF of 1539,7682 is 1 .
LCM of 849,7614 is 2154762.
The greatest common factor of 1539/849,7682/7614 = [GCF of 1539,7682]/[LCM of 849,7614]= 1/2154762
Therefore, the GCF of 1539/849,7682/7614 is 1/2154762.
To find the highest common factor of 1539,7682, we have to find the factors of both numbers and list the highest common factor.
The factors of 1539 are 1, 3, 9, 19, 27, 57, 81, 171, 513, 1539
The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682
The HCF of 1539,7682 is 1.
Lets's calculate GCF of 1539,7682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1539,7682 By Matching Biggest Common Factor Method
Now, list down the factors of 1539
:1,3,9,19,27,57,81,171,513,1539
Now, list down the factors of 7682
:1,2,23,46,167,334,3841,7682
Greatest Common Factor
We found the factors 1539,7682 . The biggest common factor number is the GCF number.
So the greatest common factor 1539,7682 is 1.
Lets's calculate LCM of 849,7614
| 3 | 849, 7614 |
| 283, 2538 |
∴ So the LCM of the given numbers is 3 x 283 x 2538 = 2154762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2154762
Therefore, the GCF of Fractions 1539/849,7682/7614 is 1/2154762
Least Common Multiple of 849,7614 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 849,7614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,7614) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,7614) x common factors =3 x 1 = 3
LCM(849,7614) = ( 849 × 7614 ) / 3
LCM(849,7614) = 6464286 / 3
LCM(849,7614) = 2154762
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FAQs on GCF of Fractions of 1539/849, 7682/7614
1. What is the HCF of 1539,7682?
The HCF of 1539,7682 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 1539/849, 7682/7614?
Answer: GCF of Numerators as per given numbers 1539/849, 7682/7614 is
GCF of Numerators i.e. for 1539,7682 is 1
LCM of denominators i.e. for 849,7614 is 2154762.
Thus, GCF of Fractions is 1/2154762.Finally, GCF of Fractions for 1539/849, 7682/7614 is 1/2154762.