GCF of 7455/496, 7185/4197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7455/496, 7185/4197 i.e 15/2081712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7455/496, 7185/4197.
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 7455/496,7185/4197?
Given fractions are 7455/496,7185/4197
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 7455/496,7185/4197, numerators are 7455,7185
Denominators are 496,4197
The GCF of 7455,7185 is 15 .
LCM of 496,4197 is 2081712.
The greatest common factor of 7455/496,7185/4197 = [GCF of 7455,7185]/[LCM of 496,4197]= 15/2081712
Therefore, the GCF of 7455/496,7185/4197 is 15/2081712.
To find the highest common factor of 7455,7185, we have to find the factors of both numbers and list the highest common factor.
The factors of 7455 are 1, 3, 5, 7, 15, 21, 35, 71, 105, 213, 355, 497, 1065, 1491, 2485, 7455
The factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185
The HCF of 7455,7185 is 15.
Lets's calculate GCF of 7455,7185
| 3 | 7455, 7185 |
| 5 | 2485, 2395 |
| 497, 479 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7455,7185 By Matching Biggest Common Factor Method
Now, list down the factors of 7455
:1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455
Now, list down the factors of 7185
:1,3,5,15,479,1437,2395,7185
Greatest Common Factor
We found the factors 7455,7185 . The biggest common factor number is the GCF number.
So the greatest common factor 7455,7185 is 15.
Lets's calculate LCM of 496,4197
Given numbers has no common factors except 1. So, there LCM is their product i.e 2081712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2081712
Therefore, the GCF of Fractions 7455/496,7185/4197 is 15/2081712
Least Common Multiple of 496,4197 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 496,4197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,4197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,4197) x common factors =1 x 1 = 1
LCM(496,4197) = ( 496 × 4197 ) / 1
LCM(496,4197) = 2081712 / 1
LCM(496,4197) = 2081712
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FAQs on GCF of Fractions of 7455/496, 7185/4197
1. What is the HCF of 7455,7185?
The HCF of 7455,7185 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 7455/496, 7185/4197?
Answer: GCF of Numerators as per given numbers 7455/496, 7185/4197 is
GCF of Numerators i.e. for 7455,7185 is 15
LCM of denominators i.e. for 496,4197 is 2081712.
Thus, GCF of Fractions is 15/2081712.Finally, GCF of Fractions for 7455/496, 7185/4197 is 15/2081712.