GCF of 1548/569, 5901/3147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1548/569, 5901/3147 i.e 3/1790643 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1548/569, 5901/3147.
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 1548/569,5901/3147?
Given fractions are 1548/569,5901/3147
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 1548/569,5901/3147, numerators are 1548,5901
Denominators are 569,3147
The GCF of 1548,5901 is 3 .
LCM of 569,3147 is 1790643.
The greatest common factor of 1548/569,5901/3147 = [GCF of 1548,5901]/[LCM of 569,3147]= 3/1790643
Therefore, the GCF of 1548/569,5901/3147 is 3/1790643.
To find the highest common factor of 1548,5901, we have to find the factors of both numbers and list the highest common factor.
The factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548
The factors of 5901 are 1, 3, 7, 21, 281, 843, 1967, 5901
The HCF of 1548,5901 is 3.
Lets's calculate GCF of 1548,5901
| 3 | 1548, 5901 |
| 516, 1967 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1548,5901 By Matching Biggest Common Factor Method
Now, list down the factors of 1548
:1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548
Now, list down the factors of 5901
:1,3,7,21,281,843,1967,5901
Greatest Common Factor
We found the factors 1548,5901 . The biggest common factor number is the GCF number.
So the greatest common factor 1548,5901 is 3.
Lets's calculate LCM of 569,3147
Given numbers has no common factors except 1. So, there LCM is their product i.e 1790643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1790643
Therefore, the GCF of Fractions 1548/569,5901/3147 is 3/1790643
Least Common Multiple of 569,3147 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 569,3147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,3147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,3147) x common factors =1 x 1 = 1
LCM(569,3147) = ( 569 × 3147 ) / 1
LCM(569,3147) = 1790643 / 1
LCM(569,3147) = 1790643
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FAQs on GCF of Fractions of 1548/569, 5901/3147
1. What is the HCF of 1548,5901?
The HCF of 1548,5901 is 3
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 1548/569, 5901/3147?
Answer: GCF of Numerators as per given numbers 1548/569, 5901/3147 is
GCF of Numerators i.e. for 1548,5901 is 3
LCM of denominators i.e. for 569,3147 is 1790643.
Thus, GCF of Fractions is 3/1790643.Finally, GCF of Fractions for 1548/569, 5901/3147 is 3/1790643.