GCF of 5144/366, 9749/3426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5144/366, 9749/3426 i.e 1/208986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5144/366, 9749/3426.
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 5144/366,9749/3426?
Given fractions are 5144/366,9749/3426
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 5144/366,9749/3426, numerators are 5144,9749
Denominators are 366,3426
The GCF of 5144,9749 is 1 .
LCM of 366,3426 is 208986.
The greatest common factor of 5144/366,9749/3426 = [GCF of 5144,9749]/[LCM of 366,3426]= 1/208986
Therefore, the GCF of 5144/366,9749/3426 is 1/208986.
To find the highest common factor of 5144,9749, we have to find the factors of both numbers and list the highest common factor.
The factors of 5144 are 1, 2, 4, 8, 643, 1286, 2572, 5144
The factors of 9749 are 1, 9749
The HCF of 5144,9749 is 1.
Lets's calculate GCF of 5144,9749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5144,9749 By Matching Biggest Common Factor Method
Now, list down the factors of 5144
:1,2,4,8,643,1286,2572,5144
Now, list down the factors of 9749
:1,9749
Greatest Common Factor
We found the factors 5144,9749 . The biggest common factor number is the GCF number.
So the greatest common factor 5144,9749 is 1.
Lets's calculate LCM of 366,3426
| 2 | 366, 3426 |
| 3 | 183, 1713 |
| 61, 571 |
∴ So the LCM of the given numbers is 2 x 3 x 61 x 571 = 208986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208986
Therefore, the GCF of Fractions 5144/366,9749/3426 is 1/208986
Least Common Multiple of 366,3426 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 366,3426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,3426) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(366,3426) x common factors =6 x 1 = 6
LCM(366,3426) = ( 366 × 3426 ) / 6
LCM(366,3426) = 1253916 / 6
LCM(366,3426) = 208986
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FAQs on GCF of Fractions of 5144/366, 9749/3426
1. What is the HCF of 5144,9749?
The HCF of 5144,9749 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 5144/366, 9749/3426?
Answer: GCF of Numerators as per given numbers 5144/366, 9749/3426 is
GCF of Numerators i.e. for 5144,9749 is 1
LCM of denominators i.e. for 366,3426 is 208986.
Thus, GCF of Fractions is 1/208986.Finally, GCF of Fractions for 5144/366, 9749/3426 is 1/208986.