GCF of 8469/167, 7117/2305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8469/167, 7117/2305 i.e 1/384935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8469/167, 7117/2305.
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 8469/167,7117/2305?
Given fractions are 8469/167,7117/2305
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 8469/167,7117/2305, numerators are 8469,7117
Denominators are 167,2305
The GCF of 8469,7117 is 1 .
LCM of 167,2305 is 384935.
The greatest common factor of 8469/167,7117/2305 = [GCF of 8469,7117]/[LCM of 167,2305]= 1/384935
Therefore, the GCF of 8469/167,7117/2305 is 1/384935.
To find the highest common factor of 8469,7117, we have to find the factors of both numbers and list the highest common factor.
The factors of 8469 are 1, 3, 9, 941, 2823, 8469
The factors of 7117 are 1, 11, 647, 7117
The HCF of 8469,7117 is 1.
Lets's calculate GCF of 8469,7117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8469,7117 By Matching Biggest Common Factor Method
Now, list down the factors of 8469
:1,3,9,941,2823,8469
Now, list down the factors of 7117
:1,11,647,7117
Greatest Common Factor
We found the factors 8469,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 8469,7117 is 1.
Lets's calculate LCM of 167,2305
Given numbers has no common factors except 1. So, there LCM is their product i.e 384935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384935
Therefore, the GCF of Fractions 8469/167,7117/2305 is 1/384935
Least Common Multiple of 167,2305 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 167,2305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,2305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,2305) x common factors =1 x 1 = 1
LCM(167,2305) = ( 167 × 2305 ) / 1
LCM(167,2305) = 384935 / 1
LCM(167,2305) = 384935
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FAQs on GCF of Fractions of 8469/167, 7117/2305
1. What is the HCF of 8469,7117?
The HCF of 8469,7117 is 1
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 8469/167, 7117/2305?
Answer: GCF of Numerators as per given numbers 8469/167, 7117/2305 is
GCF of Numerators i.e. for 8469,7117 is 1
LCM of denominators i.e. for 167,2305 is 384935.
Thus, GCF of Fractions is 1/384935.Finally, GCF of Fractions for 8469/167, 7117/2305 is 1/384935.