GCF of 1550/226, 5224/260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1550/226, 5224/260 i.e 2/29380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1550/226, 5224/260.
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 1550/226,5224/260?
Given fractions are 1550/226,5224/260
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 1550/226,5224/260, numerators are 1550,5224
Denominators are 226,260
The GCF of 1550,5224 is 2 .
LCM of 226,260 is 29380.
The greatest common factor of 1550/226,5224/260 = [GCF of 1550,5224]/[LCM of 226,260]= 2/29380
Therefore, the GCF of 1550/226,5224/260 is 2/29380.
To find the highest common factor of 1550,5224, we have to find the factors of both numbers and list the highest common factor.
The factors of 1550 are 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550
The factors of 5224 are 1, 2, 4, 8, 653, 1306, 2612, 5224
The HCF of 1550,5224 is 2.
Lets's calculate GCF of 1550,5224
| 2 | 1550, 5224 |
| 775, 2612 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1550,5224 By Matching Biggest Common Factor Method
Now, list down the factors of 1550
:1,2,5,10,25,31,50,62,155,310,775,1550
Now, list down the factors of 5224
:1,2,4,8,653,1306,2612,5224
Greatest Common Factor
We found the factors 1550,5224 . The biggest common factor number is the GCF number.
So the greatest common factor 1550,5224 is 2.
Lets's calculate LCM of 226,260
| 2 | 226, 260 |
| 113, 130 |
∴ So the LCM of the given numbers is 2 x 113 x 130 = 29380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29380
Therefore, the GCF of Fractions 1550/226,5224/260 is 2/29380
Least Common Multiple of 226,260 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 226,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,260) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,260) x common factors =2 x 1 = 2
LCM(226,260) = ( 226 × 260 ) / 2
LCM(226,260) = 58760 / 2
LCM(226,260) = 29380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1550/226, 5224/260
1. What is the HCF of 1550,5224?
The HCF of 1550,5224 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 1550/226, 5224/260?
Answer: GCF of Numerators as per given numbers 1550/226, 5224/260 is
GCF of Numerators i.e. for 1550,5224 is 2
LCM of denominators i.e. for 226,260 is 29380.
Thus, GCF of Fractions is 2/29380.Finally, GCF of Fractions for 1550/226, 5224/260 is 2/29380.