GCF of 2133/375, 8169/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2133/375, 8169/170 i.e 3/12750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2133/375, 8169/170.
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 2133/375,8169/170?
Given fractions are 2133/375,8169/170
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 2133/375,8169/170, numerators are 2133,8169
Denominators are 375,170
The GCF of 2133,8169 is 3 .
LCM of 375,170 is 12750.
The greatest common factor of 2133/375,8169/170 = [GCF of 2133,8169]/[LCM of 375,170]= 3/12750
Therefore, the GCF of 2133/375,8169/170 is 3/12750.
To find the highest common factor of 2133,8169, we have to find the factors of both numbers and list the highest common factor.
The factors of 2133 are 1, 3, 9, 27, 79, 237, 711, 2133
The factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169
The HCF of 2133,8169 is 3.
Lets's calculate GCF of 2133,8169
| 3 | 2133, 8169 |
| 711, 2723 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2133,8169 By Matching Biggest Common Factor Method
Now, list down the factors of 2133
:1,3,9,27,79,237,711,2133
Now, list down the factors of 8169
:1,3,7,21,389,1167,2723,8169
Greatest Common Factor
We found the factors 2133,8169 . The biggest common factor number is the GCF number.
So the greatest common factor 2133,8169 is 3.
Lets's calculate LCM of 375,170
| 5 | 375, 170 |
| 75, 34 |
∴ So the LCM of the given numbers is 5 x 75 x 34 = 12750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12750
Therefore, the GCF of Fractions 2133/375,8169/170 is 3/12750
Least Common Multiple of 375,170 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 375,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,170) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(375,170) x common factors =5 x 1 = 5
LCM(375,170) = ( 375 × 170 ) / 5
LCM(375,170) = 63750 / 5
LCM(375,170) = 12750
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FAQs on GCF of Fractions of 2133/375, 8169/170
1. What is the HCF of 2133,8169?
The HCF of 2133,8169 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 2133/375, 8169/170?
Answer: GCF of Numerators as per given numbers 2133/375, 8169/170 is
GCF of Numerators i.e. for 2133,8169 is 3
LCM of denominators i.e. for 375,170 is 12750.
Thus, GCF of Fractions is 3/12750.Finally, GCF of Fractions for 2133/375, 8169/170 is 3/12750.