GCF of 8235/561, 7335/2142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8235/561, 7335/2142 i.e 45/23562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8235/561, 7335/2142.
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 8235/561,7335/2142?
Given fractions are 8235/561,7335/2142
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 8235/561,7335/2142, numerators are 8235,7335
Denominators are 561,2142
The GCF of 8235,7335 is 45 .
LCM of 561,2142 is 23562.
The greatest common factor of 8235/561,7335/2142 = [GCF of 8235,7335]/[LCM of 561,2142]= 45/23562
Therefore, the GCF of 8235/561,7335/2142 is 45/23562.
To find the highest common factor of 8235,7335, we have to find the factors of both numbers and list the highest common factor.
The factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235
The factors of 7335 are 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335
The HCF of 8235,7335 is 45.
Lets's calculate GCF of 8235,7335
| 3 | 8235, 7335 |
| 3 | 2745, 2445 |
| 5 | 915, 815 |
| 183, 163 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 8235,7335 By Matching Biggest Common Factor Method
Now, list down the factors of 8235
:1,3,5,9,15,27,45,61,135,183,305,549,915,1647,2745,8235
Now, list down the factors of 7335
:1,3,5,9,15,45,163,489,815,1467,2445,7335
Greatest Common Factor
We found the factors 8235,7335 . The biggest common factor number is the GCF number.
So the greatest common factor 8235,7335 is 45.
Lets's calculate LCM of 561,2142
| 3 | 561, 2142 |
| 17 | 187, 714 |
| 11, 42 |
∴ So the LCM of the given numbers is 3 x 17 x 11 x 42 = 23562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/23562
Therefore, the GCF of Fractions 8235/561,7335/2142 is 45/23562
Least Common Multiple of 561,2142 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 561,2142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,2142) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(561,2142) x common factors =51 x 1 = 51
LCM(561,2142) = ( 561 × 2142 ) / 51
LCM(561,2142) = 1201662 / 51
LCM(561,2142) = 23562
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FAQs on GCF of Fractions of 8235/561, 7335/2142
1. What is the HCF of 8235,7335?
The HCF of 8235,7335 is 45
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 8235/561, 7335/2142?
Answer: GCF of Numerators as per given numbers 8235/561, 7335/2142 is
GCF of Numerators i.e. for 8235,7335 is 45
LCM of denominators i.e. for 561,2142 is 23562.
Thus, GCF of Fractions is 45/23562.Finally, GCF of Fractions for 8235/561, 7335/2142 is 45/23562.