GCF of 5280/606, 7185/1253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5280/606, 7185/1253 i.e 15/759318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5280/606, 7185/1253.
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 5280/606,7185/1253?
Given fractions are 5280/606,7185/1253
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 5280/606,7185/1253, numerators are 5280,7185
Denominators are 606,1253
The GCF of 5280,7185 is 15 .
LCM of 606,1253 is 759318.
The greatest common factor of 5280/606,7185/1253 = [GCF of 5280,7185]/[LCM of 606,1253]= 15/759318
Therefore, the GCF of 5280/606,7185/1253 is 15/759318.
To find the highest common factor of 5280,7185, we have to find the factors of both numbers and list the highest common factor.
The factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280
The factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185
The HCF of 5280,7185 is 15.
Lets's calculate GCF of 5280,7185
| 3 | 5280, 7185 |
| 5 | 1760, 2395 |
| 352, 479 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5280,7185 By Matching Biggest Common Factor Method
Now, list down the factors of 5280
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280
Now, list down the factors of 7185
:1,3,5,15,479,1437,2395,7185
Greatest Common Factor
We found the factors 5280,7185 . The biggest common factor number is the GCF number.
So the greatest common factor 5280,7185 is 15.
Lets's calculate LCM of 606,1253
Given numbers has no common factors except 1. So, there LCM is their product i.e 759318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/759318
Therefore, the GCF of Fractions 5280/606,7185/1253 is 15/759318
Least Common Multiple of 606,1253 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 606,1253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,1253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,1253) x common factors =1 x 1 = 1
LCM(606,1253) = ( 606 × 1253 ) / 1
LCM(606,1253) = 759318 / 1
LCM(606,1253) = 759318
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FAQs on GCF of Fractions of 5280/606, 7185/1253
1. What is the HCF of 5280,7185?
The HCF of 5280,7185 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 5280/606, 7185/1253?
Answer: GCF of Numerators as per given numbers 5280/606, 7185/1253 is
GCF of Numerators i.e. for 5280,7185 is 15
LCM of denominators i.e. for 606,1253 is 759318.
Thus, GCF of Fractions is 15/759318.Finally, GCF of Fractions for 5280/606, 7185/1253 is 15/759318.