GCF of 8484/957, 3756/6143
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8484/957, 3756/6143 i.e 12/5878851 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8484/957, 3756/6143.
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 8484/957,3756/6143?
Given fractions are 8484/957,3756/6143
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 8484/957,3756/6143, numerators are 8484,3756
Denominators are 957,6143
The GCF of 8484,3756 is 12 .
LCM of 957,6143 is 5878851.
The greatest common factor of 8484/957,3756/6143 = [GCF of 8484,3756]/[LCM of 957,6143]= 12/5878851
Therefore, the GCF of 8484/957,3756/6143 is 12/5878851.
To find the highest common factor of 8484,3756, we have to find the factors of both numbers and list the highest common factor.
The factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484
The factors of 3756 are 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878, 3756
The HCF of 8484,3756 is 12.
Lets's calculate GCF of 8484,3756
| 2 | 8484, 3756 |
| 2 | 4242, 1878 |
| 3 | 2121, 939 |
| 707, 313 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8484,3756 By Matching Biggest Common Factor Method
Now, list down the factors of 8484
:1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484
Now, list down the factors of 3756
:1,2,3,4,6,12,313,626,939,1252,1878,3756
Greatest Common Factor
We found the factors 8484,3756 . The biggest common factor number is the GCF number.
So the greatest common factor 8484,3756 is 12.
Lets's calculate LCM of 957,6143
Given numbers has no common factors except 1. So, there LCM is their product i.e 5878851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/5878851
Therefore, the GCF of Fractions 8484/957,3756/6143 is 12/5878851
Least Common Multiple of 957,6143 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 957,6143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,6143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(957,6143) x common factors =1 x 1 = 1
LCM(957,6143) = ( 957 × 6143 ) / 1
LCM(957,6143) = 5878851 / 1
LCM(957,6143) = 5878851
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FAQs on GCF of Fractions of 8484/957, 3756/6143
1. What is the HCF of 8484,3756?
The HCF of 8484,3756 is 12
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 8484/957, 3756/6143?
Answer: GCF of Numerators as per given numbers 8484/957, 3756/6143 is
GCF of Numerators i.e. for 8484,3756 is 12
LCM of denominators i.e. for 957,6143 is 5878851.
Thus, GCF of Fractions is 12/5878851.Finally, GCF of Fractions for 8484/957, 3756/6143 is 12/5878851.