GCF of 4469/415, 3922/6875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4469/415, 3922/6875 i.e 1/570625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4469/415, 3922/6875.
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 4469/415,3922/6875?
Given fractions are 4469/415,3922/6875
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 4469/415,3922/6875, numerators are 4469,3922
Denominators are 415,6875
The GCF of 4469,3922 is 1 .
LCM of 415,6875 is 570625.
The greatest common factor of 4469/415,3922/6875 = [GCF of 4469,3922]/[LCM of 415,6875]= 1/570625
Therefore, the GCF of 4469/415,3922/6875 is 1/570625.
To find the highest common factor of 4469,3922, we have to find the factors of both numbers and list the highest common factor.
The factors of 4469 are 1, 41, 109, 4469
The factors of 3922 are 1, 2, 37, 53, 74, 106, 1961, 3922
The HCF of 4469,3922 is 1.
Lets's calculate GCF of 4469,3922
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4469,3922 By Matching Biggest Common Factor Method
Now, list down the factors of 4469
:1,41,109,4469
Now, list down the factors of 3922
:1,2,37,53,74,106,1961,3922
Greatest Common Factor
We found the factors 4469,3922 . The biggest common factor number is the GCF number.
So the greatest common factor 4469,3922 is 1.
Lets's calculate LCM of 415,6875
| 5 | 415, 6875 |
| 83, 1375 |
∴ So the LCM of the given numbers is 5 x 83 x 1375 = 570625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/570625
Therefore, the GCF of Fractions 4469/415,3922/6875 is 1/570625
Least Common Multiple of 415,6875 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 415,6875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,6875) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,6875) x common factors =5 x 1 = 5
LCM(415,6875) = ( 415 × 6875 ) / 5
LCM(415,6875) = 2853125 / 5
LCM(415,6875) = 570625
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FAQs on GCF of Fractions of 4469/415, 3922/6875
1. What is the HCF of 4469,3922?
The HCF of 4469,3922 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 4469/415, 3922/6875?
Answer: GCF of Numerators as per given numbers 4469/415, 3922/6875 is
GCF of Numerators i.e. for 4469,3922 is 1
LCM of denominators i.e. for 415,6875 is 570625.
Thus, GCF of Fractions is 1/570625.Finally, GCF of Fractions for 4469/415, 3922/6875 is 1/570625.