GCF of 1800/475, 5260/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1800/475, 5260/149 i.e 20/70775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1800/475, 5260/149.
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 1800/475,5260/149?
Given fractions are 1800/475,5260/149
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 1800/475,5260/149, numerators are 1800,5260
Denominators are 475,149
The GCF of 1800,5260 is 20 .
LCM of 475,149 is 70775.
The greatest common factor of 1800/475,5260/149 = [GCF of 1800,5260]/[LCM of 475,149]= 20/70775
Therefore, the GCF of 1800/475,5260/149 is 20/70775.
To find the highest common factor of 1800,5260, we have to find the factors of both numbers and list the highest common factor.
The factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800
The factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The HCF of 1800,5260 is 20.
Lets's calculate GCF of 1800,5260
| 2 | 1800, 5260 |
| 2 | 900, 2630 |
| 5 | 450, 1315 |
| 90, 263 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 1800,5260 By Matching Biggest Common Factor Method
Now, list down the factors of 1800
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800
Now, list down the factors of 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Greatest Common Factor
We found the factors 1800,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 1800,5260 is 20.
Lets's calculate LCM of 475,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 70775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/70775
Therefore, the GCF of Fractions 1800/475,5260/149 is 20/70775
Least Common Multiple of 475,149 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 475,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,149) x common factors =1 x 1 = 1
LCM(475,149) = ( 475 × 149 ) / 1
LCM(475,149) = 70775 / 1
LCM(475,149) = 70775
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FAQs on GCF of Fractions of 1800/475, 5260/149
1. What is the HCF of 1800,5260?
The HCF of 1800,5260 is 20
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 1800/475, 5260/149?
Answer: GCF of Numerators as per given numbers 1800/475, 5260/149 is
GCF of Numerators i.e. for 1800,5260 is 20
LCM of denominators i.e. for 475,149 is 70775.
Thus, GCF of Fractions is 20/70775.Finally, GCF of Fractions for 1800/475, 5260/149 is 20/70775.