GCF of 5000/475, 7492/367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5000/475, 7492/367 i.e 4/174325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5000/475, 7492/367.
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 5000/475,7492/367?
Given fractions are 5000/475,7492/367
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 5000/475,7492/367, numerators are 5000,7492
Denominators are 475,367
The GCF of 5000,7492 is 4 .
LCM of 475,367 is 174325.
The greatest common factor of 5000/475,7492/367 = [GCF of 5000,7492]/[LCM of 475,367]= 4/174325
Therefore, the GCF of 5000/475,7492/367 is 4/174325.
To find the highest common factor of 5000,7492, we have to find the factors of both numbers and list the highest common factor.
The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
The factors of 7492 are 1, 2, 4, 1873, 3746, 7492
The HCF of 5000,7492 is 4.
Lets's calculate GCF of 5000,7492
| 2 | 5000, 7492 |
| 2 | 2500, 3746 |
| 1250, 1873 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5000,7492 By Matching Biggest Common Factor Method
Now, list down the factors of 5000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000
Now, list down the factors of 7492
:1,2,4,1873,3746,7492
Greatest Common Factor
We found the factors 5000,7492 . The biggest common factor number is the GCF number.
So the greatest common factor 5000,7492 is 4.
Lets's calculate LCM of 475,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 174325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/174325
Therefore, the GCF of Fractions 5000/475,7492/367 is 4/174325
Least Common Multiple of 475,367 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 475,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,367) x common factors =1 x 1 = 1
LCM(475,367) = ( 475 × 367 ) / 1
LCM(475,367) = 174325 / 1
LCM(475,367) = 174325
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FAQs on GCF of Fractions of 5000/475, 7492/367
1. What is the HCF of 5000,7492?
The HCF of 5000,7492 is 4
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 5000/475, 7492/367?
Answer: GCF of Numerators as per given numbers 5000/475, 7492/367 is
GCF of Numerators i.e. for 5000,7492 is 4
LCM of denominators i.e. for 475,367 is 174325.
Thus, GCF of Fractions is 4/174325.Finally, GCF of Fractions for 5000/475, 7492/367 is 4/174325.