GCF of 1555/91, 5600/225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1555/91, 5600/225 i.e 5/20475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1555/91, 5600/225.
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 1555/91,5600/225?
Given fractions are 1555/91,5600/225
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 1555/91,5600/225, numerators are 1555,5600
Denominators are 91,225
The GCF of 1555,5600 is 5 .
LCM of 91,225 is 20475.
The greatest common factor of 1555/91,5600/225 = [GCF of 1555,5600]/[LCM of 91,225]= 5/20475
Therefore, the GCF of 1555/91,5600/225 is 5/20475.
To find the highest common factor of 1555,5600, we have to find the factors of both numbers and list the highest common factor.
The factors of 1555 are 1, 5, 311, 1555
The factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600
The HCF of 1555,5600 is 5.
Lets's calculate GCF of 1555,5600
| 5 | 1555, 5600 |
| 311, 1120 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1555,5600 By Matching Biggest Common Factor Method
Now, list down the factors of 1555
:1,5,311,1555
Now, list down the factors of 5600
:1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600
Greatest Common Factor
We found the factors 1555,5600 . The biggest common factor number is the GCF number.
So the greatest common factor 1555,5600 is 5.
Lets's calculate LCM of 91,225
Given numbers has no common factors except 1. So, there LCM is their product i.e 20475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/20475
Therefore, the GCF of Fractions 1555/91,5600/225 is 5/20475
Least Common Multiple of 91,225 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 91,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,225) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,225) x common factors =1 x 1 = 1
LCM(91,225) = ( 91 × 225 ) / 1
LCM(91,225) = 20475 / 1
LCM(91,225) = 20475
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FAQs on GCF of Fractions of 1555/91, 5600/225
1. What is the HCF of 1555,5600?
The HCF of 1555,5600 is 5
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 1555/91, 5600/225?
Answer: GCF of Numerators as per given numbers 1555/91, 5600/225 is
GCF of Numerators i.e. for 1555,5600 is 5
LCM of denominators i.e. for 91,225 is 20475.
Thus, GCF of Fractions is 5/20475.Finally, GCF of Fractions for 1555/91, 5600/225 is 5/20475.