GCF of 1305/677, 7995/8031
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1305/677, 7995/8031 i.e 15/5436987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1305/677, 7995/8031.
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 1305/677,7995/8031?
Given fractions are 1305/677,7995/8031
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 1305/677,7995/8031, numerators are 1305,7995
Denominators are 677,8031
The GCF of 1305,7995 is 15 .
LCM of 677,8031 is 5436987.
The greatest common factor of 1305/677,7995/8031 = [GCF of 1305,7995]/[LCM of 677,8031]= 15/5436987
Therefore, the GCF of 1305/677,7995/8031 is 15/5436987.
To find the highest common factor of 1305,7995, we have to find the factors of both numbers and list the highest common factor.
The factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305
The factors of 7995 are 1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665, 7995
The HCF of 1305,7995 is 15.
Lets's calculate GCF of 1305,7995
| 3 | 1305, 7995 |
| 5 | 435, 2665 |
| 87, 533 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1305,7995 By Matching Biggest Common Factor Method
Now, list down the factors of 1305
:1,3,5,9,15,29,45,87,145,261,435,1305
Now, list down the factors of 7995
:1,3,5,13,15,39,41,65,123,195,205,533,615,1599,2665,7995
Greatest Common Factor
We found the factors 1305,7995 . The biggest common factor number is the GCF number.
So the greatest common factor 1305,7995 is 15.
Lets's calculate LCM of 677,8031
Given numbers has no common factors except 1. So, there LCM is their product i.e 5436987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/5436987
Therefore, the GCF of Fractions 1305/677,7995/8031 is 15/5436987
Least Common Multiple of 677,8031 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 677,8031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,8031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,8031) x common factors =1 x 1 = 1
LCM(677,8031) = ( 677 × 8031 ) / 1
LCM(677,8031) = 5436987 / 1
LCM(677,8031) = 5436987
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FAQs on GCF of Fractions of 1305/677, 7995/8031
1. What is the HCF of 1305,7995?
The HCF of 1305,7995 is 15
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 1305/677, 7995/8031?
Answer: GCF of Numerators as per given numbers 1305/677, 7995/8031 is
GCF of Numerators i.e. for 1305,7995 is 15
LCM of denominators i.e. for 677,8031 is 5436987.
Thus, GCF of Fractions is 15/5436987.Finally, GCF of Fractions for 1305/677, 7995/8031 is 15/5436987.