GCF of 7337/812, 1727/950
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7337/812, 1727/950 i.e 11/385700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7337/812, 1727/950.
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 7337/812,1727/950?
Given fractions are 7337/812,1727/950
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 7337/812,1727/950, numerators are 7337,1727
Denominators are 812,950
The GCF of 7337,1727 is 11 .
LCM of 812,950 is 385700.
The greatest common factor of 7337/812,1727/950 = [GCF of 7337,1727]/[LCM of 812,950]= 11/385700
Therefore, the GCF of 7337/812,1727/950 is 11/385700.
To find the highest common factor of 7337,1727, we have to find the factors of both numbers and list the highest common factor.
The factors of 7337 are 1, 11, 23, 29, 253, 319, 667, 7337
The factors of 1727 are 1, 11, 157, 1727
The HCF of 7337,1727 is 11.
Lets's calculate GCF of 7337,1727
| 11 | 7337, 1727 |
| 667, 157 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7337,1727 By Matching Biggest Common Factor Method
Now, list down the factors of 7337
:1,11,23,29,253,319,667,7337
Now, list down the factors of 1727
:1,11,157,1727
Greatest Common Factor
We found the factors 7337,1727 . The biggest common factor number is the GCF number.
So the greatest common factor 7337,1727 is 11.
Lets's calculate LCM of 812,950
| 2 | 812, 950 |
| 406, 475 |
∴ So the LCM of the given numbers is 2 x 406 x 475 = 385700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/385700
Therefore, the GCF of Fractions 7337/812,1727/950 is 11/385700
Least Common Multiple of 812,950 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 812,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,950) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(812,950) x common factors =2 x 1 = 2
LCM(812,950) = ( 812 × 950 ) / 2
LCM(812,950) = 771400 / 2
LCM(812,950) = 385700
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FAQs on GCF of Fractions of 7337/812, 1727/950
1. What is the HCF of 7337,1727?
The HCF of 7337,1727 is 11
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 7337/812, 1727/950?
Answer: GCF of Numerators as per given numbers 7337/812, 1727/950 is
GCF of Numerators i.e. for 7337,1727 is 11
LCM of denominators i.e. for 812,950 is 385700.
Thus, GCF of Fractions is 11/385700.Finally, GCF of Fractions for 7337/812, 1727/950 is 11/385700.