GCF of 8517/946, 1149/8445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8517/946, 1149/8445 i.e 3/7988970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8517/946, 1149/8445.
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 8517/946,1149/8445?
Given fractions are 8517/946,1149/8445
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 8517/946,1149/8445, numerators are 8517,1149
Denominators are 946,8445
The GCF of 8517,1149 is 3 .
LCM of 946,8445 is 7988970.
The greatest common factor of 8517/946,1149/8445 = [GCF of 8517,1149]/[LCM of 946,8445]= 3/7988970
Therefore, the GCF of 8517/946,1149/8445 is 3/7988970.
To find the highest common factor of 8517,1149, we have to find the factors of both numbers and list the highest common factor.
The factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517
The factors of 1149 are 1, 3, 383, 1149
The HCF of 8517,1149 is 3.
Lets's calculate GCF of 8517,1149
| 3 | 8517, 1149 |
| 2839, 383 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8517,1149 By Matching Biggest Common Factor Method
Now, list down the factors of 8517
:1,3,17,51,167,501,2839,8517
Now, list down the factors of 1149
:1,3,383,1149
Greatest Common Factor
We found the factors 8517,1149 . The biggest common factor number is the GCF number.
So the greatest common factor 8517,1149 is 3.
Lets's calculate LCM of 946,8445
Given numbers has no common factors except 1. So, there LCM is their product i.e 7988970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7988970
Therefore, the GCF of Fractions 8517/946,1149/8445 is 3/7988970
Least Common Multiple of 946,8445 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 946,8445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,8445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(946,8445) x common factors =1 x 1 = 1
LCM(946,8445) = ( 946 × 8445 ) / 1
LCM(946,8445) = 7988970 / 1
LCM(946,8445) = 7988970
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FAQs on GCF of Fractions of 8517/946, 1149/8445
1. What is the HCF of 8517,1149?
The HCF of 8517,1149 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 8517/946, 1149/8445?
Answer: GCF of Numerators as per given numbers 8517/946, 1149/8445 is
GCF of Numerators i.e. for 8517,1149 is 3
LCM of denominators i.e. for 946,8445 is 7988970.
Thus, GCF of Fractions is 3/7988970.Finally, GCF of Fractions for 8517/946, 1149/8445 is 3/7988970.