GCF of 5783/348, 6188/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5783/348, 6188/584 i.e 1/50808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5783/348, 6188/584.
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 5783/348,6188/584?
Given fractions are 5783/348,6188/584
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 5783/348,6188/584, numerators are 5783,6188
Denominators are 348,584
The GCF of 5783,6188 is 1 .
LCM of 348,584 is 50808.
The greatest common factor of 5783/348,6188/584 = [GCF of 5783,6188]/[LCM of 348,584]= 1/50808
Therefore, the GCF of 5783/348,6188/584 is 1/50808.
To find the highest common factor of 5783,6188, we have to find the factors of both numbers and list the highest common factor.
The factors of 5783 are 1, 5783
The factors of 6188 are 1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188
The HCF of 5783,6188 is 1.
Lets's calculate GCF of 5783,6188
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5783,6188 By Matching Biggest Common Factor Method
Now, list down the factors of 5783
:1,5783
Now, list down the factors of 6188
:1,2,4,7,13,14,17,26,28,34,52,68,91,119,182,221,238,364,442,476,884,1547,3094,6188
Greatest Common Factor
We found the factors 5783,6188 . The biggest common factor number is the GCF number.
So the greatest common factor 5783,6188 is 1.
Lets's calculate LCM of 348,584
| 2 | 348, 584 |
| 2 | 174, 292 |
| 87, 146 |
∴ So the LCM of the given numbers is 2 x 2 x 87 x 146 = 50808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50808
Therefore, the GCF of Fractions 5783/348,6188/584 is 1/50808
Least Common Multiple of 348,584 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 348,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,584) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(348,584) x common factors =4 x 1 = 4
LCM(348,584) = ( 348 × 584 ) / 4
LCM(348,584) = 203232 / 4
LCM(348,584) = 50808
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FAQs on GCF of Fractions of 5783/348, 6188/584
1. What is the HCF of 5783,6188?
The HCF of 5783,6188 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 5783/348, 6188/584?
Answer: GCF of Numerators as per given numbers 5783/348, 6188/584 is
GCF of Numerators i.e. for 5783,6188 is 1
LCM of denominators i.e. for 348,584 is 50808.
Thus, GCF of Fractions is 1/50808.Finally, GCF of Fractions for 5783/348, 6188/584 is 1/50808.