GCF of 7184/562, 7010/4500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7184/562, 7010/4500 i.e 2/1264500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7184/562, 7010/4500.
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 7184/562,7010/4500?
Given fractions are 7184/562,7010/4500
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 7184/562,7010/4500, numerators are 7184,7010
Denominators are 562,4500
The GCF of 7184,7010 is 2 .
LCM of 562,4500 is 1264500.
The greatest common factor of 7184/562,7010/4500 = [GCF of 7184,7010]/[LCM of 562,4500]= 2/1264500
Therefore, the GCF of 7184/562,7010/4500 is 2/1264500.
To find the highest common factor of 7184,7010, we have to find the factors of both numbers and list the highest common factor.
The factors of 7184 are 1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184
The factors of 7010 are 1, 2, 5, 10, 701, 1402, 3505, 7010
The HCF of 7184,7010 is 2.
Lets's calculate GCF of 7184,7010
| 2 | 7184, 7010 |
| 3592, 3505 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7184,7010 By Matching Biggest Common Factor Method
Now, list down the factors of 7184
:1,2,4,8,16,449,898,1796,3592,7184
Now, list down the factors of 7010
:1,2,5,10,701,1402,3505,7010
Greatest Common Factor
We found the factors 7184,7010 . The biggest common factor number is the GCF number.
So the greatest common factor 7184,7010 is 2.
Lets's calculate LCM of 562,4500
| 2 | 562, 4500 |
| 281, 2250 |
∴ So the LCM of the given numbers is 2 x 281 x 2250 = 1264500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1264500
Therefore, the GCF of Fractions 7184/562,7010/4500 is 2/1264500
Least Common Multiple of 562,4500 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 562,4500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,4500) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,4500) x common factors =2 x 1 = 2
LCM(562,4500) = ( 562 × 4500 ) / 2
LCM(562,4500) = 2529000 / 2
LCM(562,4500) = 1264500
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FAQs on GCF of Fractions of 7184/562, 7010/4500
1. What is the HCF of 7184,7010?
The HCF of 7184,7010 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 7184/562, 7010/4500?
Answer: GCF of Numerators as per given numbers 7184/562, 7010/4500 is
GCF of Numerators i.e. for 7184,7010 is 2
LCM of denominators i.e. for 562,4500 is 1264500.
Thus, GCF of Fractions is 2/1264500.Finally, GCF of Fractions for 7184/562, 7010/4500 is 2/1264500.