GCF of 6225/172, 7440/4815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6225/172, 7440/4815 i.e 15/828180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6225/172, 7440/4815.
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 6225/172,7440/4815?
Given fractions are 6225/172,7440/4815
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 6225/172,7440/4815, numerators are 6225,7440
Denominators are 172,4815
The GCF of 6225,7440 is 15 .
LCM of 172,4815 is 828180.
The greatest common factor of 6225/172,7440/4815 = [GCF of 6225,7440]/[LCM of 172,4815]= 15/828180
Therefore, the GCF of 6225/172,7440/4815 is 15/828180.
To find the highest common factor of 6225,7440, we have to find the factors of both numbers and list the highest common factor.
The factors of 6225 are 1, 3, 5, 15, 25, 75, 83, 249, 415, 1245, 2075, 6225
The factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440
The HCF of 6225,7440 is 15.
Lets's calculate GCF of 6225,7440
| 3 | 6225, 7440 |
| 5 | 2075, 2480 |
| 415, 496 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 6225,7440 By Matching Biggest Common Factor Method
Now, list down the factors of 6225
:1,3,5,15,25,75,83,249,415,1245,2075,6225
Now, list down the factors of 7440
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440
Greatest Common Factor
We found the factors 6225,7440 . The biggest common factor number is the GCF number.
So the greatest common factor 6225,7440 is 15.
Lets's calculate LCM of 172,4815
Given numbers has no common factors except 1. So, there LCM is their product i.e 828180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/828180
Therefore, the GCF of Fractions 6225/172,7440/4815 is 15/828180
Least Common Multiple of 172,4815 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 172,4815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,4815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,4815) x common factors =1 x 1 = 1
LCM(172,4815) = ( 172 × 4815 ) / 1
LCM(172,4815) = 828180 / 1
LCM(172,4815) = 828180
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FAQs on GCF of Fractions of 6225/172, 7440/4815
1. What is the HCF of 6225,7440?
The HCF of 6225,7440 is 15
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 6225/172, 7440/4815?
Answer: GCF of Numerators as per given numbers 6225/172, 7440/4815 is
GCF of Numerators i.e. for 6225,7440 is 15
LCM of denominators i.e. for 172,4815 is 828180.
Thus, GCF of Fractions is 15/828180.Finally, GCF of Fractions for 6225/172, 7440/4815 is 15/828180.