GCF of 4789/358, 5133/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4789/358, 5133/136 i.e 1/24344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4789/358, 5133/136.
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 4789/358,5133/136?
Given fractions are 4789/358,5133/136
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 4789/358,5133/136, numerators are 4789,5133
Denominators are 358,136
The GCF of 4789,5133 is 1 .
LCM of 358,136 is 24344.
The greatest common factor of 4789/358,5133/136 = [GCF of 4789,5133]/[LCM of 358,136]= 1/24344
Therefore, the GCF of 4789/358,5133/136 is 1/24344.
To find the highest common factor of 4789,5133, we have to find the factors of both numbers and list the highest common factor.
The factors of 4789 are 1, 4789
The factors of 5133 are 1, 3, 29, 59, 87, 177, 1711, 5133
The HCF of 4789,5133 is 1.
Lets's calculate GCF of 4789,5133
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4789,5133 By Matching Biggest Common Factor Method
Now, list down the factors of 4789
:1,4789
Now, list down the factors of 5133
:1,3,29,59,87,177,1711,5133
Greatest Common Factor
We found the factors 4789,5133 . The biggest common factor number is the GCF number.
So the greatest common factor 4789,5133 is 1.
Lets's calculate LCM of 358,136
| 2 | 358, 136 |
| 179, 68 |
∴ So the LCM of the given numbers is 2 x 179 x 68 = 24344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24344
Therefore, the GCF of Fractions 4789/358,5133/136 is 1/24344
Least Common Multiple of 358,136 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 358,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,136) x common factors =2 x 1 = 2
LCM(358,136) = ( 358 × 136 ) / 2
LCM(358,136) = 48688 / 2
LCM(358,136) = 24344
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FAQs on GCF of Fractions of 4789/358, 5133/136
1. What is the HCF of 4789,5133?
The HCF of 4789,5133 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 4789/358, 5133/136?
Answer: GCF of Numerators as per given numbers 4789/358, 5133/136 is
GCF of Numerators i.e. for 4789,5133 is 1
LCM of denominators i.e. for 358,136 is 24344.
Thus, GCF of Fractions is 1/24344.Finally, GCF of Fractions for 4789/358, 5133/136 is 1/24344.