GCF of 7688/351, 3309/999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7688/351, 3309/999 i.e 1/12987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7688/351, 3309/999.
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 7688/351,3309/999?
Given fractions are 7688/351,3309/999
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 7688/351,3309/999, numerators are 7688,3309
Denominators are 351,999
The GCF of 7688,3309 is 1 .
LCM of 351,999 is 12987.
The greatest common factor of 7688/351,3309/999 = [GCF of 7688,3309]/[LCM of 351,999]= 1/12987
Therefore, the GCF of 7688/351,3309/999 is 1/12987.
To find the highest common factor of 7688,3309, we have to find the factors of both numbers and list the highest common factor.
The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688
The factors of 3309 are 1, 3, 1103, 3309
The HCF of 7688,3309 is 1.
Lets's calculate GCF of 7688,3309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7688,3309 By Matching Biggest Common Factor Method
Now, list down the factors of 7688
:1,2,4,8,31,62,124,248,961,1922,3844,7688
Now, list down the factors of 3309
:1,3,1103,3309
Greatest Common Factor
We found the factors 7688,3309 . The biggest common factor number is the GCF number.
So the greatest common factor 7688,3309 is 1.
Lets's calculate LCM of 351,999
| 3 | 351, 999 |
| 3 | 117, 333 |
| 3 | 39, 111 |
| 13, 37 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 13 x 37 = 12987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12987
Therefore, the GCF of Fractions 7688/351,3309/999 is 1/12987
Least Common Multiple of 351,999 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 351,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,999) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(351,999) x common factors =27 x 1 = 27
LCM(351,999) = ( 351 × 999 ) / 27
LCM(351,999) = 350649 / 27
LCM(351,999) = 12987
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FAQs on GCF of Fractions of 7688/351, 3309/999
1. What is the HCF of 7688,3309?
The HCF of 7688,3309 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 7688/351, 3309/999?
Answer: GCF of Numerators as per given numbers 7688/351, 3309/999 is
GCF of Numerators i.e. for 7688,3309 is 1
LCM of denominators i.e. for 351,999 is 12987.
Thus, GCF of Fractions is 1/12987.Finally, GCF of Fractions for 7688/351, 3309/999 is 1/12987.