GCF of 8041/725, 9614/1936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8041/725, 9614/1936 i.e 11/1403600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8041/725, 9614/1936.
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 8041/725,9614/1936?
Given fractions are 8041/725,9614/1936
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 8041/725,9614/1936, numerators are 8041,9614
Denominators are 725,1936
The GCF of 8041,9614 is 11 .
LCM of 725,1936 is 1403600.
The greatest common factor of 8041/725,9614/1936 = [GCF of 8041,9614]/[LCM of 725,1936]= 11/1403600
Therefore, the GCF of 8041/725,9614/1936 is 11/1403600.
To find the highest common factor of 8041,9614, we have to find the factors of both numbers and list the highest common factor.
The factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041
The factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614
The HCF of 8041,9614 is 11.
Lets's calculate GCF of 8041,9614
| 11 | 8041, 9614 |
| 731, 874 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8041,9614 By Matching Biggest Common Factor Method
Now, list down the factors of 8041
:1,11,17,43,187,473,731,8041
Now, list down the factors of 9614
:1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614
Greatest Common Factor
We found the factors 8041,9614 . The biggest common factor number is the GCF number.
So the greatest common factor 8041,9614 is 11.
Lets's calculate LCM of 725,1936
Given numbers has no common factors except 1. So, there LCM is their product i.e 1403600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1403600
Therefore, the GCF of Fractions 8041/725,9614/1936 is 11/1403600
Least Common Multiple of 725,1936 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 725,1936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,1936) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,1936) x common factors =1 x 1 = 1
LCM(725,1936) = ( 725 × 1936 ) / 1
LCM(725,1936) = 1403600 / 1
LCM(725,1936) = 1403600
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FAQs on GCF of Fractions of 8041/725, 9614/1936
1. What is the HCF of 8041,9614?
The HCF of 8041,9614 is 11
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 8041/725, 9614/1936?
Answer: GCF of Numerators as per given numbers 8041/725, 9614/1936 is
GCF of Numerators i.e. for 8041,9614 is 11
LCM of denominators i.e. for 725,1936 is 1403600.
Thus, GCF of Fractions is 11/1403600.Finally, GCF of Fractions for 8041/725, 9614/1936 is 11/1403600.