GCF of 8481/251, 3507/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8481/251, 3507/212 i.e 3/53212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8481/251, 3507/212.
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 8481/251,3507/212?
Given fractions are 8481/251,3507/212
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 8481/251,3507/212, numerators are 8481,3507
Denominators are 251,212
The GCF of 8481,3507 is 3 .
LCM of 251,212 is 53212.
The greatest common factor of 8481/251,3507/212 = [GCF of 8481,3507]/[LCM of 251,212]= 3/53212
Therefore, the GCF of 8481/251,3507/212 is 3/53212.
To find the highest common factor of 8481,3507, we have to find the factors of both numbers and list the highest common factor.
The factors of 8481 are 1, 3, 11, 33, 257, 771, 2827, 8481
The factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507
The HCF of 8481,3507 is 3.
Lets's calculate GCF of 8481,3507
| 3 | 8481, 3507 |
| 2827, 1169 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8481,3507 By Matching Biggest Common Factor Method
Now, list down the factors of 8481
:1,3,11,33,257,771,2827,8481
Now, list down the factors of 3507
:1,3,7,21,167,501,1169,3507
Greatest Common Factor
We found the factors 8481,3507 . The biggest common factor number is the GCF number.
So the greatest common factor 8481,3507 is 3.
Lets's calculate LCM of 251,212
Given numbers has no common factors except 1. So, there LCM is their product i.e 53212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/53212
Therefore, the GCF of Fractions 8481/251,3507/212 is 3/53212
Least Common Multiple of 251,212 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 251,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,212) x common factors =1 x 1 = 1
LCM(251,212) = ( 251 × 212 ) / 1
LCM(251,212) = 53212 / 1
LCM(251,212) = 53212
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FAQs on GCF of Fractions of 8481/251, 3507/212
1. What is the HCF of 8481,3507?
The HCF of 8481,3507 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 8481/251, 3507/212?
Answer: GCF of Numerators as per given numbers 8481/251, 3507/212 is
GCF of Numerators i.e. for 8481,3507 is 3
LCM of denominators i.e. for 251,212 is 53212.
Thus, GCF of Fractions is 3/53212.Finally, GCF of Fractions for 8481/251, 3507/212 is 3/53212.