GCF of 250/482, 1500/237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 250/482, 1500/237 i.e 250/114234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/482, 1500/237.
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 250/482,1500/237?
Given fractions are 250/482,1500/237
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 250/482,1500/237, numerators are 250,1500
Denominators are 482,237
The GCF of 250,1500 is 250 .
LCM of 482,237 is 114234.
The greatest common factor of 250/482,1500/237 = [GCF of 250,1500]/[LCM of 482,237]= 250/114234
Therefore, the GCF of 250/482,1500/237 is 250/114234.
To find the highest common factor of 250,1500, we have to find the factors of both numbers and list the highest common factor.
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500
The HCF of 250,1500 is 250.
Lets's calculate GCF of 250,1500
| 2 | 250, 1500 |
| 5 | 125, 750 |
| 5 | 25, 150 |
| 5 | 5, 30 |
| 1, 6 |
∴ So the GCF of the given numbers is 2 x 5 x 5 x 5 = 250
Greatest Common Factor of 250,1500 By Matching Biggest Common Factor Method
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Now, list down the factors of 1500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500
Greatest Common Factor
We found the factors 250,1500 . The biggest common factor number is the GCF number.
So the greatest common factor 250,1500 is 250.
Lets's calculate LCM of 482,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 114234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 250/114234
Therefore, the GCF of Fractions 250/482,1500/237 is 250/114234
Least Common Multiple of 482,237 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 482,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(482,237) x common factors =1 x 1 = 1
LCM(482,237) = ( 482 × 237 ) / 1
LCM(482,237) = 114234 / 1
LCM(482,237) = 114234
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FAQs on GCF of Fractions of 250/482, 1500/237
1. What is the HCF of 250,1500?
The HCF of 250,1500 is 250
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 250/482, 1500/237?
Answer: GCF of Numerators as per given numbers 250/482, 1500/237 is
GCF of Numerators i.e. for 250,1500 is 250
LCM of denominators i.e. for 482,237 is 114234.
Thus, GCF of Fractions is 250/114234.Finally, GCF of Fractions for 250/482, 1500/237 is 250/114234.