GCF of 9659/558, 2686/3604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9659/558, 2686/3604 i.e 1/1005516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9659/558, 2686/3604.
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 9659/558,2686/3604?
Given fractions are 9659/558,2686/3604
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 9659/558,2686/3604, numerators are 9659,2686
Denominators are 558,3604
The GCF of 9659,2686 is 1 .
LCM of 558,3604 is 1005516.
The greatest common factor of 9659/558,2686/3604 = [GCF of 9659,2686]/[LCM of 558,3604]= 1/1005516
Therefore, the GCF of 9659/558,2686/3604 is 1/1005516.
To find the highest common factor of 9659,2686, we have to find the factors of both numbers and list the highest common factor.
The factors of 9659 are 1, 13, 743, 9659
The factors of 2686 are 1, 2, 17, 34, 79, 158, 1343, 2686
The HCF of 9659,2686 is 1.
Lets's calculate GCF of 9659,2686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9659,2686 By Matching Biggest Common Factor Method
Now, list down the factors of 9659
:1,13,743,9659
Now, list down the factors of 2686
:1,2,17,34,79,158,1343,2686
Greatest Common Factor
We found the factors 9659,2686 . The biggest common factor number is the GCF number.
So the greatest common factor 9659,2686 is 1.
Lets's calculate LCM of 558,3604
| 2 | 558, 3604 |
| 279, 1802 |
∴ So the LCM of the given numbers is 2 x 279 x 1802 = 1005516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1005516
Therefore, the GCF of Fractions 9659/558,2686/3604 is 1/1005516
Least Common Multiple of 558,3604 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 558,3604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,3604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(558,3604) x common factors =2 x 1 = 2
LCM(558,3604) = ( 558 × 3604 ) / 2
LCM(558,3604) = 2011032 / 2
LCM(558,3604) = 1005516
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FAQs on GCF of Fractions of 9659/558, 2686/3604
1. What is the HCF of 9659,2686?
The HCF of 9659,2686 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 9659/558, 2686/3604?
Answer: GCF of Numerators as per given numbers 9659/558, 2686/3604 is
GCF of Numerators i.e. for 9659,2686 is 1
LCM of denominators i.e. for 558,3604 is 1005516.
Thus, GCF of Fractions is 1/1005516.Finally, GCF of Fractions for 9659/558, 2686/3604 is 1/1005516.