GCF of 6289/172, 8236/1346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6289/172, 8236/1346 i.e 1/115756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6289/172, 8236/1346.
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 6289/172,8236/1346?
Given fractions are 6289/172,8236/1346
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 6289/172,8236/1346, numerators are 6289,8236
Denominators are 172,1346
The GCF of 6289,8236 is 1 .
LCM of 172,1346 is 115756.
The greatest common factor of 6289/172,8236/1346 = [GCF of 6289,8236]/[LCM of 172,1346]= 1/115756
Therefore, the GCF of 6289/172,8236/1346 is 1/115756.
To find the highest common factor of 6289,8236, we have to find the factors of both numbers and list the highest common factor.
The factors of 6289 are 1, 19, 331, 6289
The factors of 8236 are 1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236
The HCF of 6289,8236 is 1.
Lets's calculate GCF of 6289,8236
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6289,8236 By Matching Biggest Common Factor Method
Now, list down the factors of 6289
:1,19,331,6289
Now, list down the factors of 8236
:1,2,4,29,58,71,116,142,284,2059,4118,8236
Greatest Common Factor
We found the factors 6289,8236 . The biggest common factor number is the GCF number.
So the greatest common factor 6289,8236 is 1.
Lets's calculate LCM of 172,1346
| 2 | 172, 1346 |
| 86, 673 |
∴ So the LCM of the given numbers is 2 x 86 x 673 = 115756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115756
Therefore, the GCF of Fractions 6289/172,8236/1346 is 1/115756
Least Common Multiple of 172,1346 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 172,1346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,1346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,1346) x common factors =2 x 1 = 2
LCM(172,1346) = ( 172 × 1346 ) / 2
LCM(172,1346) = 231512 / 2
LCM(172,1346) = 115756
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FAQs on GCF of Fractions of 6289/172, 8236/1346
1. What is the HCF of 6289,8236?
The HCF of 6289,8236 is 1
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 6289/172, 8236/1346?
Answer: GCF of Numerators as per given numbers 6289/172, 8236/1346 is
GCF of Numerators i.e. for 6289,8236 is 1
LCM of denominators i.e. for 172,1346 is 115756.
Thus, GCF of Fractions is 1/115756.Finally, GCF of Fractions for 6289/172, 8236/1346 is 1/115756.