GCF of 5037/309, 9051/416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5037/309, 9051/416 i.e 3/128544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5037/309, 9051/416.
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 5037/309,9051/416?
Given fractions are 5037/309,9051/416
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 5037/309,9051/416, numerators are 5037,9051
Denominators are 309,416
The GCF of 5037,9051 is 3 .
LCM of 309,416 is 128544.
The greatest common factor of 5037/309,9051/416 = [GCF of 5037,9051]/[LCM of 309,416]= 3/128544
Therefore, the GCF of 5037/309,9051/416 is 3/128544.
To find the highest common factor of 5037,9051, we have to find the factors of both numbers and list the highest common factor.
The factors of 5037 are 1, 3, 23, 69, 73, 219, 1679, 5037
The factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051
The HCF of 5037,9051 is 3.
Lets's calculate GCF of 5037,9051
| 3 | 5037, 9051 |
| 1679, 3017 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5037,9051 By Matching Biggest Common Factor Method
Now, list down the factors of 5037
:1,3,23,69,73,219,1679,5037
Now, list down the factors of 9051
:1,3,7,21,431,1293,3017,9051
Greatest Common Factor
We found the factors 5037,9051 . The biggest common factor number is the GCF number.
So the greatest common factor 5037,9051 is 3.
Lets's calculate LCM of 309,416
Given numbers has no common factors except 1. So, there LCM is their product i.e 128544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/128544
Therefore, the GCF of Fractions 5037/309,9051/416 is 3/128544
Least Common Multiple of 309,416 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 309,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,416) x common factors =1 x 1 = 1
LCM(309,416) = ( 309 × 416 ) / 1
LCM(309,416) = 128544 / 1
LCM(309,416) = 128544
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5037/309, 9051/416
1. What is the HCF of 5037,9051?
The HCF of 5037,9051 is 3
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 5037/309, 9051/416?
Answer: GCF of Numerators as per given numbers 5037/309, 9051/416 is
GCF of Numerators i.e. for 5037,9051 is 3
LCM of denominators i.e. for 309,416 is 128544.
Thus, GCF of Fractions is 3/128544.Finally, GCF of Fractions for 5037/309, 9051/416 is 3/128544.