GCF of 8136/428, 4326/2210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8136/428, 4326/2210 i.e 6/472940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8136/428, 4326/2210.
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 8136/428,4326/2210?
Given fractions are 8136/428,4326/2210
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 8136/428,4326/2210, numerators are 8136,4326
Denominators are 428,2210
The GCF of 8136,4326 is 6 .
LCM of 428,2210 is 472940.
The greatest common factor of 8136/428,4326/2210 = [GCF of 8136,4326]/[LCM of 428,2210]= 6/472940
Therefore, the GCF of 8136/428,4326/2210 is 6/472940.
To find the highest common factor of 8136,4326, we have to find the factors of both numbers and list the highest common factor.
The factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136
The factors of 4326 are 1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163, 4326
The HCF of 8136,4326 is 6.
Lets's calculate GCF of 8136,4326
| 2 | 8136, 4326 |
| 3 | 4068, 2163 |
| 1356, 721 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8136,4326 By Matching Biggest Common Factor Method
Now, list down the factors of 8136
:1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136
Now, list down the factors of 4326
:1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326
Greatest Common Factor
We found the factors 8136,4326 . The biggest common factor number is the GCF number.
So the greatest common factor 8136,4326 is 6.
Lets's calculate LCM of 428,2210
| 2 | 428, 2210 |
| 214, 1105 |
∴ So the LCM of the given numbers is 2 x 214 x 1105 = 472940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/472940
Therefore, the GCF of Fractions 8136/428,4326/2210 is 6/472940
Least Common Multiple of 428,2210 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 428,2210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,2210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,2210) x common factors =2 x 1 = 2
LCM(428,2210) = ( 428 × 2210 ) / 2
LCM(428,2210) = 945880 / 2
LCM(428,2210) = 472940
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FAQs on GCF of Fractions of 8136/428, 4326/2210
1. What is the HCF of 8136,4326?
The HCF of 8136,4326 is 6
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 8136/428, 4326/2210?
Answer: GCF of Numerators as per given numbers 8136/428, 4326/2210 is
GCF of Numerators i.e. for 8136,4326 is 6
LCM of denominators i.e. for 428,2210 is 472940.
Thus, GCF of Fractions is 6/472940.Finally, GCF of Fractions for 8136/428, 4326/2210 is 6/472940.