GCF of 3441/214, 3187/4062
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3441/214, 3187/4062 i.e 1/434634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3441/214, 3187/4062.
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 3441/214,3187/4062?
Given fractions are 3441/214,3187/4062
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 3441/214,3187/4062, numerators are 3441,3187
Denominators are 214,4062
The GCF of 3441,3187 is 1 .
LCM of 214,4062 is 434634.
The greatest common factor of 3441/214,3187/4062 = [GCF of 3441,3187]/[LCM of 214,4062]= 1/434634
Therefore, the GCF of 3441/214,3187/4062 is 1/434634.
To find the highest common factor of 3441,3187, we have to find the factors of both numbers and list the highest common factor.
The factors of 3441 are 1, 3, 31, 37, 93, 111, 1147, 3441
The factors of 3187 are 1, 3187
The HCF of 3441,3187 is 1.
Lets's calculate GCF of 3441,3187
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3441,3187 By Matching Biggest Common Factor Method
Now, list down the factors of 3441
:1,3,31,37,93,111,1147,3441
Now, list down the factors of 3187
:1,3187
Greatest Common Factor
We found the factors 3441,3187 . The biggest common factor number is the GCF number.
So the greatest common factor 3441,3187 is 1.
Lets's calculate LCM of 214,4062
| 2 | 214, 4062 |
| 107, 2031 |
∴ So the LCM of the given numbers is 2 x 107 x 2031 = 434634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/434634
Therefore, the GCF of Fractions 3441/214,3187/4062 is 1/434634
Least Common Multiple of 214,4062 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 214,4062 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,4062) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,4062) x common factors =2 x 1 = 2
LCM(214,4062) = ( 214 × 4062 ) / 2
LCM(214,4062) = 869268 / 2
LCM(214,4062) = 434634
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FAQs on GCF of Fractions of 3441/214, 3187/4062
1. What is the HCF of 3441,3187?
The HCF of 3441,3187 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 3441/214, 3187/4062?
Answer: GCF of Numerators as per given numbers 3441/214, 3187/4062 is
GCF of Numerators i.e. for 3441,3187 is 1
LCM of denominators i.e. for 214,4062 is 434634.
Thus, GCF of Fractions is 1/434634.Finally, GCF of Fractions for 3441/214, 3187/4062 is 1/434634.