GCF of 4586/392, 9291/8732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4586/392, 9291/8732 i.e 1/855736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4586/392, 9291/8732.
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 4586/392,9291/8732?
Given fractions are 4586/392,9291/8732
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 4586/392,9291/8732, numerators are 4586,9291
Denominators are 392,8732
The GCF of 4586,9291 is 1 .
LCM of 392,8732 is 855736.
The greatest common factor of 4586/392,9291/8732 = [GCF of 4586,9291]/[LCM of 392,8732]= 1/855736
Therefore, the GCF of 4586/392,9291/8732 is 1/855736.
To find the highest common factor of 4586,9291, we have to find the factors of both numbers and list the highest common factor.
The factors of 4586 are 1, 2, 2293, 4586
The factors of 9291 are 1, 3, 19, 57, 163, 489, 3097, 9291
The HCF of 4586,9291 is 1.
Lets's calculate GCF of 4586,9291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4586,9291 By Matching Biggest Common Factor Method
Now, list down the factors of 4586
:1,2,2293,4586
Now, list down the factors of 9291
:1,3,19,57,163,489,3097,9291
Greatest Common Factor
We found the factors 4586,9291 . The biggest common factor number is the GCF number.
So the greatest common factor 4586,9291 is 1.
Lets's calculate LCM of 392,8732
| 2 | 392, 8732 |
| 2 | 196, 4366 |
| 98, 2183 |
∴ So the LCM of the given numbers is 2 x 2 x 98 x 2183 = 855736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/855736
Therefore, the GCF of Fractions 4586/392,9291/8732 is 1/855736
Least Common Multiple of 392,8732 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 392,8732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,8732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(392,8732) x common factors =4 x 1 = 4
LCM(392,8732) = ( 392 × 8732 ) / 4
LCM(392,8732) = 3422944 / 4
LCM(392,8732) = 855736
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FAQs on GCF of Fractions of 4586/392, 9291/8732
1. What is the HCF of 4586,9291?
The HCF of 4586,9291 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 4586/392, 9291/8732?
Answer: GCF of Numerators as per given numbers 4586/392, 9291/8732 is
GCF of Numerators i.e. for 4586,9291 is 1
LCM of denominators i.e. for 392,8732 is 855736.
Thus, GCF of Fractions is 1/855736.Finally, GCF of Fractions for 4586/392, 9291/8732 is 1/855736.