GCF of 7550/228, 4015/1229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7550/228, 4015/1229 i.e 5/280212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7550/228, 4015/1229.
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 7550/228,4015/1229?
Given fractions are 7550/228,4015/1229
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 7550/228,4015/1229, numerators are 7550,4015
Denominators are 228,1229
The GCF of 7550,4015 is 5 .
LCM of 228,1229 is 280212.
The greatest common factor of 7550/228,4015/1229 = [GCF of 7550,4015]/[LCM of 228,1229]= 5/280212
Therefore, the GCF of 7550/228,4015/1229 is 5/280212.
To find the highest common factor of 7550,4015, we have to find the factors of both numbers and list the highest common factor.
The factors of 7550 are 1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550
The factors of 4015 are 1, 5, 11, 55, 73, 365, 803, 4015
The HCF of 7550,4015 is 5.
Lets's calculate GCF of 7550,4015
| 5 | 7550, 4015 |
| 1510, 803 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7550,4015 By Matching Biggest Common Factor Method
Now, list down the factors of 7550
:1,2,5,10,25,50,151,302,755,1510,3775,7550
Now, list down the factors of 4015
:1,5,11,55,73,365,803,4015
Greatest Common Factor
We found the factors 7550,4015 . The biggest common factor number is the GCF number.
So the greatest common factor 7550,4015 is 5.
Lets's calculate LCM of 228,1229
Given numbers has no common factors except 1. So, there LCM is their product i.e 280212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/280212
Therefore, the GCF of Fractions 7550/228,4015/1229 is 5/280212
Least Common Multiple of 228,1229 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 228,1229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,1229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,1229) x common factors =1 x 1 = 1
LCM(228,1229) = ( 228 × 1229 ) / 1
LCM(228,1229) = 280212 / 1
LCM(228,1229) = 280212
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FAQs on GCF of Fractions of 7550/228, 4015/1229
1. What is the HCF of 7550,4015?
The HCF of 7550,4015 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 7550/228, 4015/1229?
Answer: GCF of Numerators as per given numbers 7550/228, 4015/1229 is
GCF of Numerators i.e. for 7550,4015 is 5
LCM of denominators i.e. for 228,1229 is 280212.
Thus, GCF of Fractions is 5/280212.Finally, GCF of Fractions for 7550/228, 4015/1229 is 5/280212.