GCF of 9061/532, 3781/5326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9061/532, 3781/5326 i.e 1/1416716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9061/532, 3781/5326.
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 9061/532,3781/5326?
Given fractions are 9061/532,3781/5326
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 9061/532,3781/5326, numerators are 9061,3781
Denominators are 532,5326
The GCF of 9061,3781 is 1 .
LCM of 532,5326 is 1416716.
The greatest common factor of 9061/532,3781/5326 = [GCF of 9061,3781]/[LCM of 532,5326]= 1/1416716
Therefore, the GCF of 9061/532,3781/5326 is 1/1416716.
To find the highest common factor of 9061,3781, we have to find the factors of both numbers and list the highest common factor.
The factors of 9061 are 1, 13, 17, 41, 221, 533, 697, 9061
The factors of 3781 are 1, 19, 199, 3781
The HCF of 9061,3781 is 1.
Lets's calculate GCF of 9061,3781
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9061,3781 By Matching Biggest Common Factor Method
Now, list down the factors of 9061
:1,13,17,41,221,533,697,9061
Now, list down the factors of 3781
:1,19,199,3781
Greatest Common Factor
We found the factors 9061,3781 . The biggest common factor number is the GCF number.
So the greatest common factor 9061,3781 is 1.
Lets's calculate LCM of 532,5326
| 2 | 532, 5326 |
| 266, 2663 |
∴ So the LCM of the given numbers is 2 x 266 x 2663 = 1416716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1416716
Therefore, the GCF of Fractions 9061/532,3781/5326 is 1/1416716
Least Common Multiple of 532,5326 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 532,5326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,5326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(532,5326) x common factors =2 x 1 = 2
LCM(532,5326) = ( 532 × 5326 ) / 2
LCM(532,5326) = 2833432 / 2
LCM(532,5326) = 1416716
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FAQs on GCF of Fractions of 9061/532, 3781/5326
1. What is the HCF of 9061,3781?
The HCF of 9061,3781 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 9061/532, 3781/5326?
Answer: GCF of Numerators as per given numbers 9061/532, 3781/5326 is
GCF of Numerators i.e. for 9061,3781 is 1
LCM of denominators i.e. for 532,5326 is 1416716.
Thus, GCF of Fractions is 1/1416716.Finally, GCF of Fractions for 9061/532, 3781/5326 is 1/1416716.