GCF of 9373/171, 8484/4206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9373/171, 8484/4206 i.e 7/239742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9373/171, 8484/4206.
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 9373/171,8484/4206?
Given fractions are 9373/171,8484/4206
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 9373/171,8484/4206, numerators are 9373,8484
Denominators are 171,4206
The GCF of 9373,8484 is 7 .
LCM of 171,4206 is 239742.
The greatest common factor of 9373/171,8484/4206 = [GCF of 9373,8484]/[LCM of 171,4206]= 7/239742
Therefore, the GCF of 9373/171,8484/4206 is 7/239742.
To find the highest common factor of 9373,8484, we have to find the factors of both numbers and list the highest common factor.
The factors of 9373 are 1, 7, 13, 91, 103, 721, 1339, 9373
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 HCF of 9373,8484 is 7.
Lets's calculate GCF of 9373,8484
| 7 | 9373, 8484 |
| 1339, 1212 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9373,8484 By Matching Biggest Common Factor Method
Now, list down the factors of 9373
:1,7,13,91,103,721,1339,9373
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
Greatest Common Factor
We found the factors 9373,8484 . The biggest common factor number is the GCF number.
So the greatest common factor 9373,8484 is 7.
Lets's calculate LCM of 171,4206
| 3 | 171, 4206 |
| 57, 1402 |
∴ So the LCM of the given numbers is 3 x 57 x 1402 = 239742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/239742
Therefore, the GCF of Fractions 9373/171,8484/4206 is 7/239742
Least Common Multiple of 171,4206 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 171,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,4206) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,4206) x common factors =3 x 1 = 3
LCM(171,4206) = ( 171 × 4206 ) / 3
LCM(171,4206) = 719226 / 3
LCM(171,4206) = 239742
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FAQs on GCF of Fractions of 9373/171, 8484/4206
1. What is the HCF of 9373,8484?
The HCF of 9373,8484 is 7
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 9373/171, 8484/4206?
Answer: GCF of Numerators as per given numbers 9373/171, 8484/4206 is
GCF of Numerators i.e. for 9373,8484 is 7
LCM of denominators i.e. for 171,4206 is 239742.
Thus, GCF of Fractions is 7/239742.Finally, GCF of Fractions for 9373/171, 8484/4206 is 7/239742.