GCF of 1437/251, 8996/9539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1437/251, 8996/9539 i.e 1/2394289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1437/251, 8996/9539.
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 1437/251,8996/9539?
Given fractions are 1437/251,8996/9539
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 1437/251,8996/9539, numerators are 1437,8996
Denominators are 251,9539
The GCF of 1437,8996 is 1 .
LCM of 251,9539 is 2394289.
The greatest common factor of 1437/251,8996/9539 = [GCF of 1437,8996]/[LCM of 251,9539]= 1/2394289
Therefore, the GCF of 1437/251,8996/9539 is 1/2394289.
To find the highest common factor of 1437,8996, we have to find the factors of both numbers and list the highest common factor.
The factors of 1437 are 1, 3, 479, 1437
The factors of 8996 are 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996
The HCF of 1437,8996 is 1.
Lets's calculate GCF of 1437,8996
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1437,8996 By Matching Biggest Common Factor Method
Now, list down the factors of 1437
:1,3,479,1437
Now, list down the factors of 8996
:1,2,4,13,26,52,173,346,692,2249,4498,8996
Greatest Common Factor
We found the factors 1437,8996 . The biggest common factor number is the GCF number.
So the greatest common factor 1437,8996 is 1.
Lets's calculate LCM of 251,9539
Given numbers has no common factors except 1. So, there LCM is their product i.e 2394289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2394289
Therefore, the GCF of Fractions 1437/251,8996/9539 is 1/2394289
Least Common Multiple of 251,9539 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 251,9539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,9539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,9539) x common factors =1 x 1 = 1
LCM(251,9539) = ( 251 × 9539 ) / 1
LCM(251,9539) = 2394289 / 1
LCM(251,9539) = 2394289
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1437/251, 8996/9539
1. What is the HCF of 1437,8996?
The HCF of 1437,8996 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 1437/251, 8996/9539?
Answer: GCF of Numerators as per given numbers 1437/251, 8996/9539 is
GCF of Numerators i.e. for 1437,8996 is 1
LCM of denominators i.e. for 251,9539 is 2394289.
Thus, GCF of Fractions is 1/2394289.Finally, GCF of Fractions for 1437/251, 8996/9539 is 1/2394289.