GCF of 4469/874, 9425/6428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4469/874, 9425/6428 i.e 1/2809036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4469/874, 9425/6428.
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 4469/874,9425/6428?
Given fractions are 4469/874,9425/6428
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 4469/874,9425/6428, numerators are 4469,9425
Denominators are 874,6428
The GCF of 4469,9425 is 1 .
LCM of 874,6428 is 2809036.
The greatest common factor of 4469/874,9425/6428 = [GCF of 4469,9425]/[LCM of 874,6428]= 1/2809036
Therefore, the GCF of 4469/874,9425/6428 is 1/2809036.
To find the highest common factor of 4469,9425, 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 9425 are 1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425
The HCF of 4469,9425 is 1.
Lets's calculate GCF of 4469,9425
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4469,9425 By Matching Biggest Common Factor Method
Now, list down the factors of 4469
:1,41,109,4469
Now, list down the factors of 9425
:1,5,13,25,29,65,145,325,377,725,1885,9425
Greatest Common Factor
We found the factors 4469,9425 . The biggest common factor number is the GCF number.
So the greatest common factor 4469,9425 is 1.
Lets's calculate LCM of 874,6428
| 2 | 874, 6428 |
| 437, 3214 |
∴ So the LCM of the given numbers is 2 x 437 x 3214 = 2809036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2809036
Therefore, the GCF of Fractions 4469/874,9425/6428 is 1/2809036
Least Common Multiple of 874,6428 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 874,6428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,6428) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,6428) x common factors =2 x 1 = 2
LCM(874,6428) = ( 874 × 6428 ) / 2
LCM(874,6428) = 5618072 / 2
LCM(874,6428) = 2809036
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FAQs on GCF of Fractions of 4469/874, 9425/6428
1. What is the HCF of 4469,9425?
The HCF of 4469,9425 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 4469/874, 9425/6428?
Answer: GCF of Numerators as per given numbers 4469/874, 9425/6428 is
GCF of Numerators i.e. for 4469,9425 is 1
LCM of denominators i.e. for 874,6428 is 2809036.
Thus, GCF of Fractions is 1/2809036.Finally, GCF of Fractions for 4469/874, 9425/6428 is 1/2809036.