GCF of 8295/218, 4269/842
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8295/218, 4269/842 i.e 3/91778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8295/218, 4269/842.
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 8295/218,4269/842?
Given fractions are 8295/218,4269/842
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 8295/218,4269/842, numerators are 8295,4269
Denominators are 218,842
The GCF of 8295,4269 is 3 .
LCM of 218,842 is 91778.
The greatest common factor of 8295/218,4269/842 = [GCF of 8295,4269]/[LCM of 218,842]= 3/91778
Therefore, the GCF of 8295/218,4269/842 is 3/91778.
To find the highest common factor of 8295,4269, we have to find the factors of both numbers and list the highest common factor.
The factors of 8295 are 1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765, 8295
The factors of 4269 are 1, 3, 1423, 4269
The HCF of 8295,4269 is 3.
Lets's calculate GCF of 8295,4269
| 3 | 8295, 4269 |
| 2765, 1423 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8295,4269 By Matching Biggest Common Factor Method
Now, list down the factors of 8295
:1,3,5,7,15,21,35,79,105,237,395,553,1185,1659,2765,8295
Now, list down the factors of 4269
:1,3,1423,4269
Greatest Common Factor
We found the factors 8295,4269 . The biggest common factor number is the GCF number.
So the greatest common factor 8295,4269 is 3.
Lets's calculate LCM of 218,842
| 2 | 218, 842 |
| 109, 421 |
∴ So the LCM of the given numbers is 2 x 109 x 421 = 91778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/91778
Therefore, the GCF of Fractions 8295/218,4269/842 is 3/91778
Least Common Multiple of 218,842 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 218,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,842) x common factors =2 x 1 = 2
LCM(218,842) = ( 218 × 842 ) / 2
LCM(218,842) = 183556 / 2
LCM(218,842) = 91778
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FAQs on GCF of Fractions of 8295/218, 4269/842
1. What is the HCF of 8295,4269?
The HCF of 8295,4269 is 3
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 8295/218, 4269/842?
Answer: GCF of Numerators as per given numbers 8295/218, 4269/842 is
GCF of Numerators i.e. for 8295,4269 is 3
LCM of denominators i.e. for 218,842 is 91778.
Thus, GCF of Fractions is 3/91778.Finally, GCF of Fractions for 8295/218, 4269/842 is 3/91778.