GCF of 9404/167, 3870/6670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9404/167, 3870/6670 i.e 2/1113890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9404/167, 3870/6670.
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 9404/167,3870/6670?
Given fractions are 9404/167,3870/6670
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 9404/167,3870/6670, numerators are 9404,3870
Denominators are 167,6670
The GCF of 9404,3870 is 2 .
LCM of 167,6670 is 1113890.
The greatest common factor of 9404/167,3870/6670 = [GCF of 9404,3870]/[LCM of 167,6670]= 2/1113890
Therefore, the GCF of 9404/167,3870/6670 is 2/1113890.
To find the highest common factor of 9404,3870, we have to find the factors of both numbers and list the highest common factor.
The factors of 9404 are 1, 2, 4, 2351, 4702, 9404
The factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870
The HCF of 9404,3870 is 2.
Lets's calculate GCF of 9404,3870
| 2 | 9404, 3870 |
| 4702, 1935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9404,3870 By Matching Biggest Common Factor Method
Now, list down the factors of 9404
:1,2,4,2351,4702,9404
Now, list down the factors of 3870
:1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 9404,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 9404,3870 is 2.
Lets's calculate LCM of 167,6670
Given numbers has no common factors except 1. So, there LCM is their product i.e 1113890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1113890
Therefore, the GCF of Fractions 9404/167,3870/6670 is 2/1113890
Least Common Multiple of 167,6670 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 167,6670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,6670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,6670) x common factors =1 x 1 = 1
LCM(167,6670) = ( 167 × 6670 ) / 1
LCM(167,6670) = 1113890 / 1
LCM(167,6670) = 1113890
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FAQs on GCF of Fractions of 9404/167, 3870/6670
1. What is the HCF of 9404,3870?
The HCF of 9404,3870 is 2
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 9404/167, 3870/6670?
Answer: GCF of Numerators as per given numbers 9404/167, 3870/6670 is
GCF of Numerators i.e. for 9404,3870 is 2
LCM of denominators i.e. for 167,6670 is 1113890.
Thus, GCF of Fractions is 2/1113890.Finally, GCF of Fractions for 9404/167, 3870/6670 is 2/1113890.