GCF of 3999/439, 1340/969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3999/439, 1340/969 i.e 1/425391 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3999/439, 1340/969.
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 3999/439,1340/969?
Given fractions are 3999/439,1340/969
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 3999/439,1340/969, numerators are 3999,1340
Denominators are 439,969
The GCF of 3999,1340 is 1 .
LCM of 439,969 is 425391.
The greatest common factor of 3999/439,1340/969 = [GCF of 3999,1340]/[LCM of 439,969]= 1/425391
Therefore, the GCF of 3999/439,1340/969 is 1/425391.
To find the highest common factor of 3999,1340, we have to find the factors of both numbers and list the highest common factor.
The factors of 3999 are 1, 3, 31, 43, 93, 129, 1333, 3999
The factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340
The HCF of 3999,1340 is 1.
Lets's calculate GCF of 3999,1340
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3999,1340 By Matching Biggest Common Factor Method
Now, list down the factors of 3999
:1,3,31,43,93,129,1333,3999
Now, list down the factors of 1340
:1,2,4,5,10,20,67,134,268,335,670,1340
Greatest Common Factor
We found the factors 3999,1340 . The biggest common factor number is the GCF number.
So the greatest common factor 3999,1340 is 1.
Lets's calculate LCM of 439,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 425391
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425391
Therefore, the GCF of Fractions 3999/439,1340/969 is 1/425391
Least Common Multiple of 439,969 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 439,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,969) x common factors =1 x 1 = 1
LCM(439,969) = ( 439 × 969 ) / 1
LCM(439,969) = 425391 / 1
LCM(439,969) = 425391
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FAQs on GCF of Fractions of 3999/439, 1340/969
1. What is the HCF of 3999,1340?
The HCF of 3999,1340 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 3999/439, 1340/969?
Answer: GCF of Numerators as per given numbers 3999/439, 1340/969 is
GCF of Numerators i.e. for 3999,1340 is 1
LCM of denominators i.e. for 439,969 is 425391.
Thus, GCF of Fractions is 1/425391.Finally, GCF of Fractions for 3999/439, 1340/969 is 1/425391.