GCF of 5846/188, 8565/3024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5846/188, 8565/3024 i.e 1/142128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5846/188, 8565/3024.
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 5846/188,8565/3024?
Given fractions are 5846/188,8565/3024
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 5846/188,8565/3024, numerators are 5846,8565
Denominators are 188,3024
The GCF of 5846,8565 is 1 .
LCM of 188,3024 is 142128.
The greatest common factor of 5846/188,8565/3024 = [GCF of 5846,8565]/[LCM of 188,3024]= 1/142128
Therefore, the GCF of 5846/188,8565/3024 is 1/142128.
To find the highest common factor of 5846,8565, we have to find the factors of both numbers and list the highest common factor.
The factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846
The factors of 8565 are 1, 3, 5, 15, 571, 1713, 2855, 8565
The HCF of 5846,8565 is 1.
Lets's calculate GCF of 5846,8565
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5846,8565 By Matching Biggest Common Factor Method
Now, list down the factors of 5846
:1,2,37,74,79,158,2923,5846
Now, list down the factors of 8565
:1,3,5,15,571,1713,2855,8565
Greatest Common Factor
We found the factors 5846,8565 . The biggest common factor number is the GCF number.
So the greatest common factor 5846,8565 is 1.
Lets's calculate LCM of 188,3024
| 2 | 188, 3024 |
| 2 | 94, 1512 |
| 47, 756 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 756 = 142128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142128
Therefore, the GCF of Fractions 5846/188,8565/3024 is 1/142128
Least Common Multiple of 188,3024 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 188,3024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,3024) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(188,3024) x common factors =4 x 1 = 4
LCM(188,3024) = ( 188 × 3024 ) / 4
LCM(188,3024) = 568512 / 4
LCM(188,3024) = 142128
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FAQs on GCF of Fractions of 5846/188, 8565/3024
1. What is the HCF of 5846,8565?
The HCF of 5846,8565 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 5846/188, 8565/3024?
Answer: GCF of Numerators as per given numbers 5846/188, 8565/3024 is
GCF of Numerators i.e. for 5846,8565 is 1
LCM of denominators i.e. for 188,3024 is 142128.
Thus, GCF of Fractions is 1/142128.Finally, GCF of Fractions for 5846/188, 8565/3024 is 1/142128.