GCF of 3159/677, 8454/995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3159/677, 8454/995 i.e 3/673615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3159/677, 8454/995.
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 3159/677,8454/995?
Given fractions are 3159/677,8454/995
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 3159/677,8454/995, numerators are 3159,8454
Denominators are 677,995
The GCF of 3159,8454 is 3 .
LCM of 677,995 is 673615.
The greatest common factor of 3159/677,8454/995 = [GCF of 3159,8454]/[LCM of 677,995]= 3/673615
Therefore, the GCF of 3159/677,8454/995 is 3/673615.
To find the highest common factor of 3159,8454, we have to find the factors of both numbers and list the highest common factor.
The factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159
The factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454
The HCF of 3159,8454 is 3.
Lets's calculate GCF of 3159,8454
| 3 | 3159, 8454 |
| 1053, 2818 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3159,8454 By Matching Biggest Common Factor Method
Now, list down the factors of 3159
:1,3,9,13,27,39,81,117,243,351,1053,3159
Now, list down the factors of 8454
:1,2,3,6,1409,2818,4227,8454
Greatest Common Factor
We found the factors 3159,8454 . The biggest common factor number is the GCF number.
So the greatest common factor 3159,8454 is 3.
Lets's calculate LCM of 677,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 673615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/673615
Therefore, the GCF of Fractions 3159/677,8454/995 is 3/673615
Least Common Multiple of 677,995 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 677,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,995) x common factors =1 x 1 = 1
LCM(677,995) = ( 677 × 995 ) / 1
LCM(677,995) = 673615 / 1
LCM(677,995) = 673615
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FAQs on GCF of Fractions of 3159/677, 8454/995
1. What is the HCF of 3159,8454?
The HCF of 3159,8454 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 3159/677, 8454/995?
Answer: GCF of Numerators as per given numbers 3159/677, 8454/995 is
GCF of Numerators i.e. for 3159,8454 is 3
LCM of denominators i.e. for 677,995 is 673615.
Thus, GCF of Fractions is 3/673615.Finally, GCF of Fractions for 3159/677, 8454/995 is 3/673615.