GCF of 3062/120, 6271/2185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3062/120, 6271/2185 i.e 1/52440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3062/120, 6271/2185.
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 3062/120,6271/2185?
Given fractions are 3062/120,6271/2185
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 3062/120,6271/2185, numerators are 3062,6271
Denominators are 120,2185
The GCF of 3062,6271 is 1 .
LCM of 120,2185 is 52440.
The greatest common factor of 3062/120,6271/2185 = [GCF of 3062,6271]/[LCM of 120,2185]= 1/52440
Therefore, the GCF of 3062/120,6271/2185 is 1/52440.
To find the highest common factor of 3062,6271, we have to find the factors of both numbers and list the highest common factor.
The factors of 3062 are 1, 2, 1531, 3062
The factors of 6271 are 1, 6271
The HCF of 3062,6271 is 1.
Lets's calculate GCF of 3062,6271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3062,6271 By Matching Biggest Common Factor Method
Now, list down the factors of 3062
:1,2,1531,3062
Now, list down the factors of 6271
:1,6271
Greatest Common Factor
We found the factors 3062,6271 . The biggest common factor number is the GCF number.
So the greatest common factor 3062,6271 is 1.
Lets's calculate LCM of 120,2185
| 5 | 120, 2185 |
| 24, 437 |
∴ So the LCM of the given numbers is 5 x 24 x 437 = 52440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52440
Therefore, the GCF of Fractions 3062/120,6271/2185 is 1/52440
Least Common Multiple of 120,2185 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 120,2185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,2185) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(120,2185) x common factors =5 x 1 = 5
LCM(120,2185) = ( 120 × 2185 ) / 5
LCM(120,2185) = 262200 / 5
LCM(120,2185) = 52440
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FAQs on GCF of Fractions of 3062/120, 6271/2185
1. What is the HCF of 3062,6271?
The HCF of 3062,6271 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 3062/120, 6271/2185?
Answer: GCF of Numerators as per given numbers 3062/120, 6271/2185 is
GCF of Numerators i.e. for 3062,6271 is 1
LCM of denominators i.e. for 120,2185 is 52440.
Thus, GCF of Fractions is 1/52440.Finally, GCF of Fractions for 3062/120, 6271/2185 is 1/52440.