GCF of 9429/170, 9855/3807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9429/170, 9855/3807 i.e 3/647190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9429/170, 9855/3807.
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 9429/170,9855/3807?
Given fractions are 9429/170,9855/3807
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 9429/170,9855/3807, numerators are 9429,9855
Denominators are 170,3807
The GCF of 9429,9855 is 3 .
LCM of 170,3807 is 647190.
The greatest common factor of 9429/170,9855/3807 = [GCF of 9429,9855]/[LCM of 170,3807]= 3/647190
Therefore, the GCF of 9429/170,9855/3807 is 3/647190.
To find the highest common factor of 9429,9855, we have to find the factors of both numbers and list the highest common factor.
The factors of 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429
The factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855
The HCF of 9429,9855 is 3.
Lets's calculate GCF of 9429,9855
| 3 | 9429, 9855 |
| 3143, 3285 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9429,9855 By Matching Biggest Common Factor Method
Now, list down the factors of 9429
:1,3,7,21,449,1347,3143,9429
Now, list down the factors of 9855
:1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Greatest Common Factor
We found the factors 9429,9855 . The biggest common factor number is the GCF number.
So the greatest common factor 9429,9855 is 3.
Lets's calculate LCM of 170,3807
Given numbers has no common factors except 1. So, there LCM is their product i.e 647190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/647190
Therefore, the GCF of Fractions 9429/170,9855/3807 is 3/647190
Least Common Multiple of 170,3807 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 170,3807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,3807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(170,3807) x common factors =1 x 1 = 1
LCM(170,3807) = ( 170 × 3807 ) / 1
LCM(170,3807) = 647190 / 1
LCM(170,3807) = 647190
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FAQs on GCF of Fractions of 9429/170, 9855/3807
1. What is the HCF of 9429,9855?
The HCF of 9429,9855 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 9429/170, 9855/3807?
Answer: GCF of Numerators as per given numbers 9429/170, 9855/3807 is
GCF of Numerators i.e. for 9429,9855 is 3
LCM of denominators i.e. for 170,3807 is 647190.
Thus, GCF of Fractions is 3/647190.Finally, GCF of Fractions for 9429/170, 9855/3807 is 3/647190.