GCF of 7080/300, 5338/6232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7080/300, 5338/6232 i.e 2/467400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7080/300, 5338/6232.
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 7080/300,5338/6232?
Given fractions are 7080/300,5338/6232
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 7080/300,5338/6232, numerators are 7080,5338
Denominators are 300,6232
The GCF of 7080,5338 is 2 .
LCM of 300,6232 is 467400.
The greatest common factor of 7080/300,5338/6232 = [GCF of 7080,5338]/[LCM of 300,6232]= 2/467400
Therefore, the GCF of 7080/300,5338/6232 is 2/467400.
To find the highest common factor of 7080,5338, we have to find the factors of both numbers and list the highest common factor.
The factors of 7080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080
The factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338
The HCF of 7080,5338 is 2.
Lets's calculate GCF of 7080,5338
| 2 | 7080, 5338 |
| 3540, 2669 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7080,5338 By Matching Biggest Common Factor Method
Now, list down the factors of 7080
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080
Now, list down the factors of 5338
:1,2,17,34,157,314,2669,5338
Greatest Common Factor
We found the factors 7080,5338 . The biggest common factor number is the GCF number.
So the greatest common factor 7080,5338 is 2.
Lets's calculate LCM of 300,6232
| 2 | 300, 6232 |
| 2 | 150, 3116 |
| 75, 1558 |
∴ So the LCM of the given numbers is 2 x 2 x 75 x 1558 = 467400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/467400
Therefore, the GCF of Fractions 7080/300,5338/6232 is 2/467400
Least Common Multiple of 300,6232 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 300,6232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,6232) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(300,6232) x common factors =4 x 1 = 4
LCM(300,6232) = ( 300 × 6232 ) / 4
LCM(300,6232) = 1869600 / 4
LCM(300,6232) = 467400
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FAQs on GCF of Fractions of 7080/300, 5338/6232
1. What is the HCF of 7080,5338?
The HCF of 7080,5338 is 2
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 7080/300, 5338/6232?
Answer: GCF of Numerators as per given numbers 7080/300, 5338/6232 is
GCF of Numerators i.e. for 7080,5338 is 2
LCM of denominators i.e. for 300,6232 is 467400.
Thus, GCF of Fractions is 2/467400.Finally, GCF of Fractions for 7080/300, 5338/6232 is 2/467400.