GCF of 5408/476, 4050/2369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5408/476, 4050/2369 i.e 2/1127644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5408/476, 4050/2369.
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 5408/476,4050/2369?
Given fractions are 5408/476,4050/2369
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 5408/476,4050/2369, numerators are 5408,4050
Denominators are 476,2369
The GCF of 5408,4050 is 2 .
LCM of 476,2369 is 1127644.
The greatest common factor of 5408/476,4050/2369 = [GCF of 5408,4050]/[LCM of 476,2369]= 2/1127644
Therefore, the GCF of 5408/476,4050/2369 is 2/1127644.
To find the highest common factor of 5408,4050, we have to find the factors of both numbers and list the highest common factor.
The factors of 5408 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408
The factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050
The HCF of 5408,4050 is 2.
Lets's calculate GCF of 5408,4050
| 2 | 5408, 4050 |
| 2704, 2025 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5408,4050 By Matching Biggest Common Factor Method
Now, list down the factors of 5408
:1,2,4,8,13,16,26,32,52,104,169,208,338,416,676,1352,2704,5408
Now, list down the factors of 4050
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,81,90,135,150,162,225,270,405,450,675,810,1350,2025,4050
Greatest Common Factor
We found the factors 5408,4050 . The biggest common factor number is the GCF number.
So the greatest common factor 5408,4050 is 2.
Lets's calculate LCM of 476,2369
Given numbers has no common factors except 1. So, there LCM is their product i.e 1127644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1127644
Therefore, the GCF of Fractions 5408/476,4050/2369 is 2/1127644
Least Common Multiple of 476,2369 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 476,2369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,2369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(476,2369) x common factors =1 x 1 = 1
LCM(476,2369) = ( 476 × 2369 ) / 1
LCM(476,2369) = 1127644 / 1
LCM(476,2369) = 1127644
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5408/476, 4050/2369
1. What is the HCF of 5408,4050?
The HCF of 5408,4050 is 2
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 5408/476, 4050/2369?
Answer: GCF of Numerators as per given numbers 5408/476, 4050/2369 is
GCF of Numerators i.e. for 5408,4050 is 2
LCM of denominators i.e. for 476,2369 is 1127644.
Thus, GCF of Fractions is 2/1127644.Finally, GCF of Fractions for 5408/476, 4050/2369 is 2/1127644.