GCF of 6066/175, 8775/237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6066/175, 8775/237 i.e 9/41475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6066/175, 8775/237.
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 6066/175,8775/237?
Given fractions are 6066/175,8775/237
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 6066/175,8775/237, numerators are 6066,8775
Denominators are 175,237
The GCF of 6066,8775 is 9 .
LCM of 175,237 is 41475.
The greatest common factor of 6066/175,8775/237 = [GCF of 6066,8775]/[LCM of 175,237]= 9/41475
Therefore, the GCF of 6066/175,8775/237 is 9/41475.
To find the highest common factor of 6066,8775, we have to find the factors of both numbers and list the highest common factor.
The factors of 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066
The factors of 8775 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775
The HCF of 6066,8775 is 9.
Lets's calculate GCF of 6066,8775
| 3 | 6066, 8775 |
| 3 | 2022, 2925 |
| 674, 975 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6066,8775 By Matching Biggest Common Factor Method
Now, list down the factors of 6066
:1,2,3,6,9,18,337,674,1011,2022,3033,6066
Now, list down the factors of 8775
:1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775
Greatest Common Factor
We found the factors 6066,8775 . The biggest common factor number is the GCF number.
So the greatest common factor 6066,8775 is 9.
Lets's calculate LCM of 175,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 41475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/41475
Therefore, the GCF of Fractions 6066/175,8775/237 is 9/41475
Least Common Multiple of 175,237 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 175,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,237) x common factors =1 x 1 = 1
LCM(175,237) = ( 175 × 237 ) / 1
LCM(175,237) = 41475 / 1
LCM(175,237) = 41475
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FAQs on GCF of Fractions of 6066/175, 8775/237
1. What is the HCF of 6066,8775?
The HCF of 6066,8775 is 9
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 6066/175, 8775/237?
Answer: GCF of Numerators as per given numbers 6066/175, 8775/237 is
GCF of Numerators i.e. for 6066,8775 is 9
LCM of denominators i.e. for 175,237 is 41475.
Thus, GCF of Fractions is 9/41475.Finally, GCF of Fractions for 6066/175, 8775/237 is 9/41475.