GCF of 5946/544, 5173/4301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5946/544, 5173/4301 i.e 1/137632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5946/544, 5173/4301.
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 5946/544,5173/4301?
Given fractions are 5946/544,5173/4301
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 5946/544,5173/4301, numerators are 5946,5173
Denominators are 544,4301
The GCF of 5946,5173 is 1 .
LCM of 544,4301 is 137632.
The greatest common factor of 5946/544,5173/4301 = [GCF of 5946,5173]/[LCM of 544,4301]= 1/137632
Therefore, the GCF of 5946/544,5173/4301 is 1/137632.
To find the highest common factor of 5946,5173, we have to find the factors of both numbers and list the highest common factor.
The factors of 5946 are 1, 2, 3, 6, 991, 1982, 2973, 5946
The factors of 5173 are 1, 7, 739, 5173
The HCF of 5946,5173 is 1.
Lets's calculate GCF of 5946,5173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5946,5173 By Matching Biggest Common Factor Method
Now, list down the factors of 5946
:1,2,3,6,991,1982,2973,5946
Now, list down the factors of 5173
:1,7,739,5173
Greatest Common Factor
We found the factors 5946,5173 . The biggest common factor number is the GCF number.
So the greatest common factor 5946,5173 is 1.
Lets's calculate LCM of 544,4301
| 17 | 544, 4301 |
| 32, 253 |
∴ So the LCM of the given numbers is 17 x 32 x 253 = 137632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137632
Therefore, the GCF of Fractions 5946/544,5173/4301 is 1/137632
Least Common Multiple of 544,4301 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 544,4301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,4301) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(544,4301) x common factors =17 x 1 = 17
LCM(544,4301) = ( 544 × 4301 ) / 17
LCM(544,4301) = 2339744 / 17
LCM(544,4301) = 137632
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FAQs on GCF of Fractions of 5946/544, 5173/4301
1. What is the HCF of 5946,5173?
The HCF of 5946,5173 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 5946/544, 5173/4301?
Answer: GCF of Numerators as per given numbers 5946/544, 5173/4301 is
GCF of Numerators i.e. for 5946,5173 is 1
LCM of denominators i.e. for 544,4301 is 137632.
Thus, GCF of Fractions is 1/137632.Finally, GCF of Fractions for 5946/544, 5173/4301 is 1/137632.