GCF of 8206/469, 4719/2521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8206/469, 4719/2521 i.e 11/1182349 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8206/469, 4719/2521.
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 8206/469,4719/2521?
Given fractions are 8206/469,4719/2521
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 8206/469,4719/2521, numerators are 8206,4719
Denominators are 469,2521
The GCF of 8206,4719 is 11 .
LCM of 469,2521 is 1182349.
The greatest common factor of 8206/469,4719/2521 = [GCF of 8206,4719]/[LCM of 469,2521]= 11/1182349
Therefore, the GCF of 8206/469,4719/2521 is 11/1182349.
To find the highest common factor of 8206,4719, we have to find the factors of both numbers and list the highest common factor.
The factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206
The factors of 4719 are 1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719
The HCF of 8206,4719 is 11.
Lets's calculate GCF of 8206,4719
| 11 | 8206, 4719 |
| 746, 429 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8206,4719 By Matching Biggest Common Factor Method
Now, list down the factors of 8206
:1,2,11,22,373,746,4103,8206
Now, list down the factors of 4719
:1,3,11,13,33,39,121,143,363,429,1573,4719
Greatest Common Factor
We found the factors 8206,4719 . The biggest common factor number is the GCF number.
So the greatest common factor 8206,4719 is 11.
Lets's calculate LCM of 469,2521
Given numbers has no common factors except 1. So, there LCM is their product i.e 1182349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1182349
Therefore, the GCF of Fractions 8206/469,4719/2521 is 11/1182349
Least Common Multiple of 469,2521 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 469,2521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,2521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,2521) x common factors =1 x 1 = 1
LCM(469,2521) = ( 469 × 2521 ) / 1
LCM(469,2521) = 1182349 / 1
LCM(469,2521) = 1182349
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FAQs on GCF of Fractions of 8206/469, 4719/2521
1. What is the HCF of 8206,4719?
The HCF of 8206,4719 is 11
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 8206/469, 4719/2521?
Answer: GCF of Numerators as per given numbers 8206/469, 4719/2521 is
GCF of Numerators i.e. for 8206,4719 is 11
LCM of denominators i.e. for 469,2521 is 1182349.
Thus, GCF of Fractions is 11/1182349.Finally, GCF of Fractions for 8206/469, 4719/2521 is 11/1182349.