GCF of 5011/114, 9036/1397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5011/114, 9036/1397 i.e 1/159258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5011/114, 9036/1397.
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 5011/114,9036/1397?
Given fractions are 5011/114,9036/1397
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 5011/114,9036/1397, numerators are 5011,9036
Denominators are 114,1397
The GCF of 5011,9036 is 1 .
LCM of 114,1397 is 159258.
The greatest common factor of 5011/114,9036/1397 = [GCF of 5011,9036]/[LCM of 114,1397]= 1/159258
Therefore, the GCF of 5011/114,9036/1397 is 1/159258.
To find the highest common factor of 5011,9036, we have to find the factors of both numbers and list the highest common factor.
The factors of 5011 are 1, 5011
The factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036
The HCF of 5011,9036 is 1.
Lets's calculate GCF of 5011,9036
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5011,9036 By Matching Biggest Common Factor Method
Now, list down the factors of 5011
:1,5011
Now, list down the factors of 9036
:1,2,3,4,6,9,12,18,36,251,502,753,1004,1506,2259,3012,4518,9036
Greatest Common Factor
We found the factors 5011,9036 . The biggest common factor number is the GCF number.
So the greatest common factor 5011,9036 is 1.
Lets's calculate LCM of 114,1397
Given numbers has no common factors except 1. So, there LCM is their product i.e 159258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159258
Therefore, the GCF of Fractions 5011/114,9036/1397 is 1/159258
Least Common Multiple of 114,1397 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 114,1397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,1397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(114,1397) x common factors =1 x 1 = 1
LCM(114,1397) = ( 114 × 1397 ) / 1
LCM(114,1397) = 159258 / 1
LCM(114,1397) = 159258
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5011/114, 9036/1397
1. What is the HCF of 5011,9036?
The HCF of 5011,9036 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 5011/114, 9036/1397?
Answer: GCF of Numerators as per given numbers 5011/114, 9036/1397 is
GCF of Numerators i.e. for 5011,9036 is 1
LCM of denominators i.e. for 114,1397 is 159258.
Thus, GCF of Fractions is 1/159258.Finally, GCF of Fractions for 5011/114, 9036/1397 is 1/159258.