GCF of 4467/569, 6171/731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4467/569, 6171/731 i.e 3/415939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4467/569, 6171/731.
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 4467/569,6171/731?
Given fractions are 4467/569,6171/731
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 4467/569,6171/731, numerators are 4467,6171
Denominators are 569,731
The GCF of 4467,6171 is 3 .
LCM of 569,731 is 415939.
The greatest common factor of 4467/569,6171/731 = [GCF of 4467,6171]/[LCM of 569,731]= 3/415939
Therefore, the GCF of 4467/569,6171/731 is 3/415939.
To find the highest common factor of 4467,6171, we have to find the factors of both numbers and list the highest common factor.
The factors of 4467 are 1, 3, 1489, 4467
The factors of 6171 are 1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057, 6171
The HCF of 4467,6171 is 3.
Lets's calculate GCF of 4467,6171
| 3 | 4467, 6171 |
| 1489, 2057 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4467,6171 By Matching Biggest Common Factor Method
Now, list down the factors of 4467
:1,3,1489,4467
Now, list down the factors of 6171
:1,3,11,17,33,51,121,187,363,561,2057,6171
Greatest Common Factor
We found the factors 4467,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 4467,6171 is 3.
Lets's calculate LCM of 569,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 415939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/415939
Therefore, the GCF of Fractions 4467/569,6171/731 is 3/415939
Least Common Multiple of 569,731 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 569,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,731) x common factors =1 x 1 = 1
LCM(569,731) = ( 569 × 731 ) / 1
LCM(569,731) = 415939 / 1
LCM(569,731) = 415939
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FAQs on GCF of Fractions of 4467/569, 6171/731
1. What is the HCF of 4467,6171?
The HCF of 4467,6171 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 4467/569, 6171/731?
Answer: GCF of Numerators as per given numbers 4467/569, 6171/731 is
GCF of Numerators i.e. for 4467,6171 is 3
LCM of denominators i.e. for 569,731 is 415939.
Thus, GCF of Fractions is 3/415939.Finally, GCF of Fractions for 4467/569, 6171/731 is 3/415939.