GCF of 2617/714, 8517/7192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2617/714, 8517/7192 i.e 1/2567544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2617/714, 8517/7192.
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 2617/714,8517/7192?
Given fractions are 2617/714,8517/7192
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 2617/714,8517/7192, numerators are 2617,8517
Denominators are 714,7192
The GCF of 2617,8517 is 1 .
LCM of 714,7192 is 2567544.
The greatest common factor of 2617/714,8517/7192 = [GCF of 2617,8517]/[LCM of 714,7192]= 1/2567544
Therefore, the GCF of 2617/714,8517/7192 is 1/2567544.
To find the highest common factor of 2617,8517, we have to find the factors of both numbers and list the highest common factor.
The factors of 2617 are 1, 2617
The factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517
The HCF of 2617,8517 is 1.
Lets's calculate GCF of 2617,8517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2617,8517 By Matching Biggest Common Factor Method
Now, list down the factors of 2617
:1,2617
Now, list down the factors of 8517
:1,3,17,51,167,501,2839,8517
Greatest Common Factor
We found the factors 2617,8517 . The biggest common factor number is the GCF number.
So the greatest common factor 2617,8517 is 1.
Lets's calculate LCM of 714,7192
| 2 | 714, 7192 |
| 357, 3596 |
∴ So the LCM of the given numbers is 2 x 357 x 3596 = 2567544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2567544
Therefore, the GCF of Fractions 2617/714,8517/7192 is 1/2567544
Least Common Multiple of 714,7192 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 714,7192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,7192) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,7192) x common factors =2 x 1 = 2
LCM(714,7192) = ( 714 × 7192 ) / 2
LCM(714,7192) = 5135088 / 2
LCM(714,7192) = 2567544
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FAQs on GCF of Fractions of 2617/714, 8517/7192
1. What is the HCF of 2617,8517?
The HCF of 2617,8517 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 2617/714, 8517/7192?
Answer: GCF of Numerators as per given numbers 2617/714, 8517/7192 is
GCF of Numerators i.e. for 2617,8517 is 1
LCM of denominators i.e. for 714,7192 is 2567544.
Thus, GCF of Fractions is 1/2567544.Finally, GCF of Fractions for 2617/714, 8517/7192 is 1/2567544.