GCF of 436/82, 419/7676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 436/82, 419/7676 i.e 1/314716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 436/82, 419/7676.
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 436/82,419/7676?
Given fractions are 436/82,419/7676
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 436/82,419/7676, numerators are 436,419
Denominators are 82,7676
The GCF of 436,419 is 1 .
LCM of 82,7676 is 314716.
The greatest common factor of 436/82,419/7676 = [GCF of 436,419]/[LCM of 82,7676]= 1/314716
Therefore, the GCF of 436/82,419/7676 is 1/314716.
To find the highest common factor of 436,419, we have to find the factors of both numbers and list the highest common factor.
The factors of 436 are 1, 2, 4, 109, 218, 436
The factors of 419 are 1, 419
The HCF of 436,419 is 1.
Lets's calculate GCF of 436,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 436,419 By Matching Biggest Common Factor Method
Now, list down the factors of 436
:1,2,4,109,218,436
Now, list down the factors of 419
:1,419
Greatest Common Factor
We found the factors 436,419 . The biggest common factor number is the GCF number.
So the greatest common factor 436,419 is 1.
Lets's calculate LCM of 82,7676
| 2 | 82, 7676 |
| 41, 3838 |
∴ So the LCM of the given numbers is 2 x 41 x 3838 = 314716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/314716
Therefore, the GCF of Fractions 436/82,419/7676 is 1/314716
Least Common Multiple of 82,7676 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 82,7676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,7676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,7676) x common factors =2 x 1 = 2
LCM(82,7676) = ( 82 × 7676 ) / 2
LCM(82,7676) = 629432 / 2
LCM(82,7676) = 314716
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FAQs on GCF of Fractions of 436/82, 419/7676
1. What is the HCF of 436,419?
The HCF of 436,419 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 436/82, 419/7676?
Answer: GCF of Numerators as per given numbers 436/82, 419/7676 is
GCF of Numerators i.e. for 436,419 is 1
LCM of denominators i.e. for 82,7676 is 314716.
Thus, GCF of Fractions is 1/314716.Finally, GCF of Fractions for 436/82, 419/7676 is 1/314716.