GCF of 5001/228, 4611/121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5001/228, 4611/121 i.e 3/27588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5001/228, 4611/121.
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 5001/228,4611/121?
Given fractions are 5001/228,4611/121
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 5001/228,4611/121, numerators are 5001,4611
Denominators are 228,121
The GCF of 5001,4611 is 3 .
LCM of 228,121 is 27588.
The greatest common factor of 5001/228,4611/121 = [GCF of 5001,4611]/[LCM of 228,121]= 3/27588
Therefore, the GCF of 5001/228,4611/121 is 3/27588.
To find the highest common factor of 5001,4611, we have to find the factors of both numbers and list the highest common factor.
The factors of 5001 are 1, 3, 1667, 5001
The factors of 4611 are 1, 3, 29, 53, 87, 159, 1537, 4611
The HCF of 5001,4611 is 3.
Lets's calculate GCF of 5001,4611
| 3 | 5001, 4611 |
| 1667, 1537 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5001,4611 By Matching Biggest Common Factor Method
Now, list down the factors of 5001
:1,3,1667,5001
Now, list down the factors of 4611
:1,3,29,53,87,159,1537,4611
Greatest Common Factor
We found the factors 5001,4611 . The biggest common factor number is the GCF number.
So the greatest common factor 5001,4611 is 3.
Lets's calculate LCM of 228,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 27588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27588
Therefore, the GCF of Fractions 5001/228,4611/121 is 3/27588
Least Common Multiple of 228,121 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 228,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,121) x common factors =1 x 1 = 1
LCM(228,121) = ( 228 × 121 ) / 1
LCM(228,121) = 27588 / 1
LCM(228,121) = 27588
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FAQs on GCF of Fractions of 5001/228, 4611/121
1. What is the HCF of 5001,4611?
The HCF of 5001,4611 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 5001/228, 4611/121?
Answer: GCF of Numerators as per given numbers 5001/228, 4611/121 is
GCF of Numerators i.e. for 5001,4611 is 3
LCM of denominators i.e. for 228,121 is 27588.
Thus, GCF of Fractions is 3/27588.Finally, GCF of Fractions for 5001/228, 4611/121 is 3/27588.