GCF of 2205/226, 3150/2227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2205/226, 3150/2227 i.e 315/503302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2205/226, 3150/2227.
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 2205/226,3150/2227?
Given fractions are 2205/226,3150/2227
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 2205/226,3150/2227, numerators are 2205,3150
Denominators are 226,2227
The GCF of 2205,3150 is 315 .
LCM of 226,2227 is 503302.
The greatest common factor of 2205/226,3150/2227 = [GCF of 2205,3150]/[LCM of 226,2227]= 315/503302
Therefore, the GCF of 2205/226,3150/2227 is 315/503302.
To find the highest common factor of 2205,3150, we have to find the factors of both numbers and list the highest common factor.
The factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205
The factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
The HCF of 2205,3150 is 315.
Lets's calculate GCF of 2205,3150
| 3 | 2205, 3150 |
| 3 | 735, 1050 |
| 5 | 245, 350 |
| 7 | 49, 70 |
| 7, 10 |
∴ So the GCF of the given numbers is 3 x 3 x 5 x 7 = 315
Greatest Common Factor of 2205,3150 By Matching Biggest Common Factor Method
Now, list down the factors of 2205
:1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205
Now, list down the factors of 3150
:1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Greatest Common Factor
We found the factors 2205,3150 . The biggest common factor number is the GCF number.
So the greatest common factor 2205,3150 is 315.
Lets's calculate LCM of 226,2227
Given numbers has no common factors except 1. So, there LCM is their product i.e 503302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 315/503302
Therefore, the GCF of Fractions 2205/226,3150/2227 is 315/503302
Least Common Multiple of 226,2227 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 226,2227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,2227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,2227) x common factors =1 x 1 = 1
LCM(226,2227) = ( 226 × 2227 ) / 1
LCM(226,2227) = 503302 / 1
LCM(226,2227) = 503302
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FAQs on GCF of Fractions of 2205/226, 3150/2227
1. What is the HCF of 2205,3150?
The HCF of 2205,3150 is 315
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 2205/226, 3150/2227?
Answer: GCF of Numerators as per given numbers 2205/226, 3150/2227 is
GCF of Numerators i.e. for 2205,3150 is 315
LCM of denominators i.e. for 226,2227 is 503302.
Thus, GCF of Fractions is 315/503302.Finally, GCF of Fractions for 2205/226, 3150/2227 is 315/503302.