GCF of 8642/629, 1376/5069
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8642/629, 1376/5069 i.e 2/86173 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8642/629, 1376/5069.
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 8642/629,1376/5069?
Given fractions are 8642/629,1376/5069
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 8642/629,1376/5069, numerators are 8642,1376
Denominators are 629,5069
The GCF of 8642,1376 is 2 .
LCM of 629,5069 is 86173.
The greatest common factor of 8642/629,1376/5069 = [GCF of 8642,1376]/[LCM of 629,5069]= 2/86173
Therefore, the GCF of 8642/629,1376/5069 is 2/86173.
To find the highest common factor of 8642,1376, we have to find the factors of both numbers and list the highest common factor.
The factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642
The factors of 1376 are 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376
The HCF of 8642,1376 is 2.
Lets's calculate GCF of 8642,1376
| 2 | 8642, 1376 |
| 4321, 688 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8642,1376 By Matching Biggest Common Factor Method
Now, list down the factors of 8642
:1,2,29,58,149,298,4321,8642
Now, list down the factors of 1376
:1,2,4,8,16,32,43,86,172,344,688,1376
Greatest Common Factor
We found the factors 8642,1376 . The biggest common factor number is the GCF number.
So the greatest common factor 8642,1376 is 2.
Lets's calculate LCM of 629,5069
| 37 | 629, 5069 |
| 17, 137 |
∴ So the LCM of the given numbers is 37 x 17 x 137 = 86173
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86173
Therefore, the GCF of Fractions 8642/629,1376/5069 is 2/86173
Least Common Multiple of 629,5069 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 629,5069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,5069) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(629,5069) x common factors =37 x 1 = 37
LCM(629,5069) = ( 629 × 5069 ) / 37
LCM(629,5069) = 3188401 / 37
LCM(629,5069) = 86173
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FAQs on GCF of Fractions of 8642/629, 1376/5069
1. What is the HCF of 8642,1376?
The HCF of 8642,1376 is 2
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 8642/629, 1376/5069?
Answer: GCF of Numerators as per given numbers 8642/629, 1376/5069 is
GCF of Numerators i.e. for 8642,1376 is 2
LCM of denominators i.e. for 629,5069 is 86173.
Thus, GCF of Fractions is 2/86173.Finally, GCF of Fractions for 8642/629, 1376/5069 is 2/86173.