GCF of 5414/606, 3626/9542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5414/606, 3626/9542 i.e 2/2891226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5414/606, 3626/9542.
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 5414/606,3626/9542?
Given fractions are 5414/606,3626/9542
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 5414/606,3626/9542, numerators are 5414,3626
Denominators are 606,9542
The GCF of 5414,3626 is 2 .
LCM of 606,9542 is 2891226.
The greatest common factor of 5414/606,3626/9542 = [GCF of 5414,3626]/[LCM of 606,9542]= 2/2891226
Therefore, the GCF of 5414/606,3626/9542 is 2/2891226.
To find the highest common factor of 5414,3626, we have to find the factors of both numbers and list the highest common factor.
The factors of 5414 are 1, 2, 2707, 5414
The factors of 3626 are 1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626
The HCF of 5414,3626 is 2.
Lets's calculate GCF of 5414,3626
| 2 | 5414, 3626 |
| 2707, 1813 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5414,3626 By Matching Biggest Common Factor Method
Now, list down the factors of 5414
:1,2,2707,5414
Now, list down the factors of 3626
:1,2,7,14,37,49,74,98,259,518,1813,3626
Greatest Common Factor
We found the factors 5414,3626 . The biggest common factor number is the GCF number.
So the greatest common factor 5414,3626 is 2.
Lets's calculate LCM of 606,9542
| 2 | 606, 9542 |
| 303, 4771 |
∴ So the LCM of the given numbers is 2 x 303 x 4771 = 2891226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2891226
Therefore, the GCF of Fractions 5414/606,3626/9542 is 2/2891226
Least Common Multiple of 606,9542 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 606,9542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,9542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,9542) x common factors =2 x 1 = 2
LCM(606,9542) = ( 606 × 9542 ) / 2
LCM(606,9542) = 5782452 / 2
LCM(606,9542) = 2891226
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FAQs on GCF of Fractions of 5414/606, 3626/9542
1. What is the HCF of 5414,3626?
The HCF of 5414,3626 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 5414/606, 3626/9542?
Answer: GCF of Numerators as per given numbers 5414/606, 3626/9542 is
GCF of Numerators i.e. for 5414,3626 is 2
LCM of denominators i.e. for 606,9542 is 2891226.
Thus, GCF of Fractions is 2/2891226.Finally, GCF of Fractions for 5414/606, 3626/9542 is 2/2891226.