GCF of 3791/498, 9101/5784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3791/498, 9101/5784 i.e 1/480072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3791/498, 9101/5784.
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 3791/498,9101/5784?
Given fractions are 3791/498,9101/5784
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 3791/498,9101/5784, numerators are 3791,9101
Denominators are 498,5784
The GCF of 3791,9101 is 1 .
LCM of 498,5784 is 480072.
The greatest common factor of 3791/498,9101/5784 = [GCF of 3791,9101]/[LCM of 498,5784]= 1/480072
Therefore, the GCF of 3791/498,9101/5784 is 1/480072.
To find the highest common factor of 3791,9101, we have to find the factors of both numbers and list the highest common factor.
The factors of 3791 are 1, 17, 223, 3791
The factors of 9101 are 1, 19, 479, 9101
The HCF of 3791,9101 is 1.
Lets's calculate GCF of 3791,9101
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3791,9101 By Matching Biggest Common Factor Method
Now, list down the factors of 3791
:1,17,223,3791
Now, list down the factors of 9101
:1,19,479,9101
Greatest Common Factor
We found the factors 3791,9101 . The biggest common factor number is the GCF number.
So the greatest common factor 3791,9101 is 1.
Lets's calculate LCM of 498,5784
| 2 | 498, 5784 |
| 3 | 249, 2892 |
| 83, 964 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 964 = 480072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480072
Therefore, the GCF of Fractions 3791/498,9101/5784 is 1/480072
Least Common Multiple of 498,5784 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 498,5784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,5784) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,5784) x common factors =6 x 1 = 6
LCM(498,5784) = ( 498 × 5784 ) / 6
LCM(498,5784) = 2880432 / 6
LCM(498,5784) = 480072
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FAQs on GCF of Fractions of 3791/498, 9101/5784
1. What is the HCF of 3791,9101?
The HCF of 3791,9101 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 3791/498, 9101/5784?
Answer: GCF of Numerators as per given numbers 3791/498, 9101/5784 is
GCF of Numerators i.e. for 3791,9101 is 1
LCM of denominators i.e. for 498,5784 is 480072.
Thus, GCF of Fractions is 1/480072.Finally, GCF of Fractions for 3791/498, 9101/5784 is 1/480072.