GCF of 4173/127, 5668/4396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4173/127, 5668/4396 i.e 13/558292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4173/127, 5668/4396.
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 4173/127,5668/4396?
Given fractions are 4173/127,5668/4396
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 4173/127,5668/4396, numerators are 4173,5668
Denominators are 127,4396
The GCF of 4173,5668 is 13 .
LCM of 127,4396 is 558292.
The greatest common factor of 4173/127,5668/4396 = [GCF of 4173,5668]/[LCM of 127,4396]= 13/558292
Therefore, the GCF of 4173/127,5668/4396 is 13/558292.
To find the highest common factor of 4173,5668, we have to find the factors of both numbers and list the highest common factor.
The factors of 4173 are 1, 3, 13, 39, 107, 321, 1391, 4173
The factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668
The HCF of 4173,5668 is 13.
Lets's calculate GCF of 4173,5668
| 13 | 4173, 5668 |
| 321, 436 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4173,5668 By Matching Biggest Common Factor Method
Now, list down the factors of 4173
:1,3,13,39,107,321,1391,4173
Now, list down the factors of 5668
:1,2,4,13,26,52,109,218,436,1417,2834,5668
Greatest Common Factor
We found the factors 4173,5668 . The biggest common factor number is the GCF number.
So the greatest common factor 4173,5668 is 13.
Lets's calculate LCM of 127,4396
Given numbers has no common factors except 1. So, there LCM is their product i.e 558292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/558292
Therefore, the GCF of Fractions 4173/127,5668/4396 is 13/558292
Least Common Multiple of 127,4396 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 127,4396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,4396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,4396) x common factors =1 x 1 = 1
LCM(127,4396) = ( 127 × 4396 ) / 1
LCM(127,4396) = 558292 / 1
LCM(127,4396) = 558292
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FAQs on GCF of Fractions of 4173/127, 5668/4396
1. What is the HCF of 4173,5668?
The HCF of 4173,5668 is 13
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 4173/127, 5668/4396?
Answer: GCF of Numerators as per given numbers 4173/127, 5668/4396 is
GCF of Numerators i.e. for 4173,5668 is 13
LCM of denominators i.e. for 127,4396 is 558292.
Thus, GCF of Fractions is 13/558292.Finally, GCF of Fractions for 4173/127, 5668/4396 is 13/558292.