GCF of 3823/358, 8500/5678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3823/358, 8500/5678 i.e 1/1016362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3823/358, 8500/5678.
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 3823/358,8500/5678?
Given fractions are 3823/358,8500/5678
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 3823/358,8500/5678, numerators are 3823,8500
Denominators are 358,5678
The GCF of 3823,8500 is 1 .
LCM of 358,5678 is 1016362.
The greatest common factor of 3823/358,8500/5678 = [GCF of 3823,8500]/[LCM of 358,5678]= 1/1016362
Therefore, the GCF of 3823/358,8500/5678 is 1/1016362.
To find the highest common factor of 3823,8500, we have to find the factors of both numbers and list the highest common factor.
The factors of 3823 are 1, 3823
The factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500
The HCF of 3823,8500 is 1.
Lets's calculate GCF of 3823,8500
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3823,8500 By Matching Biggest Common Factor Method
Now, list down the factors of 3823
:1,3823
Now, list down the factors of 8500
:1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500
Greatest Common Factor
We found the factors 3823,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 3823,8500 is 1.
Lets's calculate LCM of 358,5678
| 2 | 358, 5678 |
| 179, 2839 |
∴ So the LCM of the given numbers is 2 x 179 x 2839 = 1016362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1016362
Therefore, the GCF of Fractions 3823/358,8500/5678 is 1/1016362
Least Common Multiple of 358,5678 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 358,5678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,5678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,5678) x common factors =2 x 1 = 2
LCM(358,5678) = ( 358 × 5678 ) / 2
LCM(358,5678) = 2032724 / 2
LCM(358,5678) = 1016362
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FAQs on GCF of Fractions of 3823/358, 8500/5678
1. What is the HCF of 3823,8500?
The HCF of 3823,8500 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 3823/358, 8500/5678?
Answer: GCF of Numerators as per given numbers 3823/358, 8500/5678 is
GCF of Numerators i.e. for 3823,8500 is 1
LCM of denominators i.e. for 358,5678 is 1016362.
Thus, GCF of Fractions is 1/1016362.Finally, GCF of Fractions for 3823/358, 8500/5678 is 1/1016362.