GCF of 8371/364, 8469/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8371/364, 8469/574 i.e 1/14924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8371/364, 8469/574.
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 8371/364,8469/574?
Given fractions are 8371/364,8469/574
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 8371/364,8469/574, numerators are 8371,8469
Denominators are 364,574
The GCF of 8371,8469 is 1 .
LCM of 364,574 is 14924.
The greatest common factor of 8371/364,8469/574 = [GCF of 8371,8469]/[LCM of 364,574]= 1/14924
Therefore, the GCF of 8371/364,8469/574 is 1/14924.
To find the highest common factor of 8371,8469, we have to find the factors of both numbers and list the highest common factor.
The factors of 8371 are 1, 11, 761, 8371
The factors of 8469 are 1, 3, 9, 941, 2823, 8469
The HCF of 8371,8469 is 1.
Lets's calculate GCF of 8371,8469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8371,8469 By Matching Biggest Common Factor Method
Now, list down the factors of 8371
:1,11,761,8371
Now, list down the factors of 8469
:1,3,9,941,2823,8469
Greatest Common Factor
We found the factors 8371,8469 . The biggest common factor number is the GCF number.
So the greatest common factor 8371,8469 is 1.
Lets's calculate LCM of 364,574
| 2 | 364, 574 |
| 7 | 182, 287 |
| 26, 41 |
∴ So the LCM of the given numbers is 2 x 7 x 26 x 41 = 14924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14924
Therefore, the GCF of Fractions 8371/364,8469/574 is 1/14924
Least Common Multiple of 364,574 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 364,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,574) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(364,574) x common factors =14 x 1 = 14
LCM(364,574) = ( 364 × 574 ) / 14
LCM(364,574) = 208936 / 14
LCM(364,574) = 14924
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FAQs on GCF of Fractions of 8371/364, 8469/574
1. What is the HCF of 8371,8469?
The HCF of 8371,8469 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 8371/364, 8469/574?
Answer: GCF of Numerators as per given numbers 8371/364, 8469/574 is
GCF of Numerators i.e. for 8371,8469 is 1
LCM of denominators i.e. for 364,574 is 14924.
Thus, GCF of Fractions is 1/14924.Finally, GCF of Fractions for 8371/364, 8469/574 is 1/14924.