GCF of 4250/297, 7225/5319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4250/297, 7225/5319 i.e 425/58509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4250/297, 7225/5319.
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 4250/297,7225/5319?
Given fractions are 4250/297,7225/5319
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 4250/297,7225/5319, numerators are 4250,7225
Denominators are 297,5319
The GCF of 4250,7225 is 425 .
LCM of 297,5319 is 58509.
The greatest common factor of 4250/297,7225/5319 = [GCF of 4250,7225]/[LCM of 297,5319]= 425/58509
Therefore, the GCF of 4250/297,7225/5319 is 425/58509.
To find the highest common factor of 4250,7225, we have to find the factors of both numbers and list the highest common factor.
The factors of 4250 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250
The factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225
The HCF of 4250,7225 is 425.
Lets's calculate GCF of 4250,7225
| 5 | 4250, 7225 |
| 5 | 850, 1445 |
| 17 | 170, 289 |
| 10, 17 |
∴ So the GCF of the given numbers is 5 x 5 x 17 = 425
Greatest Common Factor of 4250,7225 By Matching Biggest Common Factor Method
Now, list down the factors of 4250
:1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250
Now, list down the factors of 7225
:1,5,17,25,85,289,425,1445,7225
Greatest Common Factor
We found the factors 4250,7225 . The biggest common factor number is the GCF number.
So the greatest common factor 4250,7225 is 425.
Lets's calculate LCM of 297,5319
| 3 | 297, 5319 |
| 3 | 99, 1773 |
| 3 | 33, 591 |
| 11, 197 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 11 x 197 = 58509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 425/58509
Therefore, the GCF of Fractions 4250/297,7225/5319 is 425/58509
Least Common Multiple of 297,5319 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 297,5319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,5319) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(297,5319) x common factors =27 x 1 = 27
LCM(297,5319) = ( 297 × 5319 ) / 27
LCM(297,5319) = 1579743 / 27
LCM(297,5319) = 58509
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FAQs on GCF of Fractions of 4250/297, 7225/5319
1. What is the HCF of 4250,7225?
The HCF of 4250,7225 is 425
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 4250/297, 7225/5319?
Answer: GCF of Numerators as per given numbers 4250/297, 7225/5319 is
GCF of Numerators i.e. for 4250,7225 is 425
LCM of denominators i.e. for 297,5319 is 58509.
Thus, GCF of Fractions is 425/58509.Finally, GCF of Fractions for 4250/297, 7225/5319 is 425/58509.