GCF of 3356/241, 8658/3592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3356/241, 8658/3592 i.e 2/865672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3356/241, 8658/3592.
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 3356/241,8658/3592?
Given fractions are 3356/241,8658/3592
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 3356/241,8658/3592, numerators are 3356,8658
Denominators are 241,3592
The GCF of 3356,8658 is 2 .
LCM of 241,3592 is 865672.
The greatest common factor of 3356/241,8658/3592 = [GCF of 3356,8658]/[LCM of 241,3592]= 2/865672
Therefore, the GCF of 3356/241,8658/3592 is 2/865672.
To find the highest common factor of 3356,8658, we have to find the factors of both numbers and list the highest common factor.
The factors of 3356 are 1, 2, 4, 839, 1678, 3356
The factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658
The HCF of 3356,8658 is 2.
Lets's calculate GCF of 3356,8658
| 2 | 3356, 8658 |
| 1678, 4329 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3356,8658 By Matching Biggest Common Factor Method
Now, list down the factors of 3356
:1,2,4,839,1678,3356
Now, list down the factors of 8658
:1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658
Greatest Common Factor
We found the factors 3356,8658 . The biggest common factor number is the GCF number.
So the greatest common factor 3356,8658 is 2.
Lets's calculate LCM of 241,3592
Given numbers has no common factors except 1. So, there LCM is their product i.e 865672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/865672
Therefore, the GCF of Fractions 3356/241,8658/3592 is 2/865672
Least Common Multiple of 241,3592 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 241,3592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,3592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,3592) x common factors =1 x 1 = 1
LCM(241,3592) = ( 241 × 3592 ) / 1
LCM(241,3592) = 865672 / 1
LCM(241,3592) = 865672
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FAQs on GCF of Fractions of 3356/241, 8658/3592
1. What is the HCF of 3356,8658?
The HCF of 3356,8658 is 2
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 3356/241, 8658/3592?
Answer: GCF of Numerators as per given numbers 3356/241, 8658/3592 is
GCF of Numerators i.e. for 3356,8658 is 2
LCM of denominators i.e. for 241,3592 is 865672.
Thus, GCF of Fractions is 2/865672.Finally, GCF of Fractions for 3356/241, 8658/3592 is 2/865672.