GCF of 3369/47, 5871/121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3369/47, 5871/121 i.e 3/5687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3369/47, 5871/121.
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 3369/47,5871/121?
Given fractions are 3369/47,5871/121
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 3369/47,5871/121, numerators are 3369,5871
Denominators are 47,121
The GCF of 3369,5871 is 3 .
LCM of 47,121 is 5687.
The greatest common factor of 3369/47,5871/121 = [GCF of 3369,5871]/[LCM of 47,121]= 3/5687
Therefore, the GCF of 3369/47,5871/121 is 3/5687.
To find the highest common factor of 3369,5871, we have to find the factors of both numbers and list the highest common factor.
The factors of 3369 are 1, 3, 1123, 3369
The factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871
The HCF of 3369,5871 is 3.
Lets's calculate GCF of 3369,5871
| 3 | 3369, 5871 |
| 1123, 1957 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3369,5871 By Matching Biggest Common Factor Method
Now, list down the factors of 3369
:1,3,1123,3369
Now, list down the factors of 5871
:1,3,19,57,103,309,1957,5871
Greatest Common Factor
We found the factors 3369,5871 . The biggest common factor number is the GCF number.
So the greatest common factor 3369,5871 is 3.
Lets's calculate LCM of 47,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 5687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5687
Therefore, the GCF of Fractions 3369/47,5871/121 is 3/5687
Least Common Multiple of 47,121 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 47,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,121) x common factors =1 x 1 = 1
LCM(47,121) = ( 47 × 121 ) / 1
LCM(47,121) = 5687 / 1
LCM(47,121) = 5687
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FAQs on GCF of Fractions of 3369/47, 5871/121
1. What is the HCF of 3369,5871?
The HCF of 3369,5871 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 3369/47, 5871/121?
Answer: GCF of Numerators as per given numbers 3369/47, 5871/121 is
GCF of Numerators i.e. for 3369,5871 is 3
LCM of denominators i.e. for 47,121 is 5687.
Thus, GCF of Fractions is 3/5687.Finally, GCF of Fractions for 3369/47, 5871/121 is 3/5687.