GCF of 439/497, 3422/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 439/497, 3422/728 i.e 1/51688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/497, 3422/728.
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 439/497,3422/728?
Given fractions are 439/497,3422/728
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 439/497,3422/728, numerators are 439,3422
Denominators are 497,728
The GCF of 439,3422 is 1 .
LCM of 497,728 is 51688.
The greatest common factor of 439/497,3422/728 = [GCF of 439,3422]/[LCM of 497,728]= 1/51688
Therefore, the GCF of 439/497,3422/728 is 1/51688.
To find the highest common factor of 439,3422, we have to find the factors of both numbers and list the highest common factor.
The factors of 439 are 1, 439
The factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422
The HCF of 439,3422 is 1.
Lets's calculate GCF of 439,3422
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 439,3422 By Matching Biggest Common Factor Method
Now, list down the factors of 439
:1,439
Now, list down the factors of 3422
:1,2,29,58,59,118,1711,3422
Greatest Common Factor
We found the factors 439,3422 . The biggest common factor number is the GCF number.
So the greatest common factor 439,3422 is 1.
Lets's calculate LCM of 497,728
| 7 | 497, 728 |
| 71, 104 |
∴ So the LCM of the given numbers is 7 x 71 x 104 = 51688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51688
Therefore, the GCF of Fractions 439/497,3422/728 is 1/51688
Least Common Multiple of 497,728 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 497,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,728) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(497,728) x common factors =7 x 1 = 7
LCM(497,728) = ( 497 × 728 ) / 7
LCM(497,728) = 361816 / 7
LCM(497,728) = 51688
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FAQs on GCF of Fractions of 439/497, 3422/728
1. What is the HCF of 439,3422?
The HCF of 439,3422 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 439/497, 3422/728?
Answer: GCF of Numerators as per given numbers 439/497, 3422/728 is
GCF of Numerators i.e. for 439,3422 is 1
LCM of denominators i.e. for 497,728 is 51688.
Thus, GCF of Fractions is 1/51688.Finally, GCF of Fractions for 439/497, 3422/728 is 1/51688.