GCF of 8617/772, 2604/1855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8617/772, 2604/1855 i.e 7/1432060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8617/772, 2604/1855.
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 8617/772,2604/1855?
Given fractions are 8617/772,2604/1855
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 8617/772,2604/1855, numerators are 8617,2604
Denominators are 772,1855
The GCF of 8617,2604 is 7 .
LCM of 772,1855 is 1432060.
The greatest common factor of 8617/772,2604/1855 = [GCF of 8617,2604]/[LCM of 772,1855]= 7/1432060
Therefore, the GCF of 8617/772,2604/1855 is 7/1432060.
To find the highest common factor of 8617,2604, we have to find the factors of both numbers and list the highest common factor.
The factors of 8617 are 1, 7, 1231, 8617
The factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604
The HCF of 8617,2604 is 7.
Lets's calculate GCF of 8617,2604
| 7 | 8617, 2604 |
| 1231, 372 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8617,2604 By Matching Biggest Common Factor Method
Now, list down the factors of 8617
:1,7,1231,8617
Now, list down the factors of 2604
:1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604
Greatest Common Factor
We found the factors 8617,2604 . The biggest common factor number is the GCF number.
So the greatest common factor 8617,2604 is 7.
Lets's calculate LCM of 772,1855
Given numbers has no common factors except 1. So, there LCM is their product i.e 1432060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1432060
Therefore, the GCF of Fractions 8617/772,2604/1855 is 7/1432060
Least Common Multiple of 772,1855 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 772,1855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,1855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,1855) x common factors =1 x 1 = 1
LCM(772,1855) = ( 772 × 1855 ) / 1
LCM(772,1855) = 1432060 / 1
LCM(772,1855) = 1432060
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FAQs on GCF of Fractions of 8617/772, 2604/1855
1. What is the HCF of 8617,2604?
The HCF of 8617,2604 is 7
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 8617/772, 2604/1855?
Answer: GCF of Numerators as per given numbers 8617/772, 2604/1855 is
GCF of Numerators i.e. for 8617,2604 is 7
LCM of denominators i.e. for 772,1855 is 1432060.
Thus, GCF of Fractions is 7/1432060.Finally, GCF of Fractions for 8617/772, 2604/1855 is 7/1432060.