GCF of 7337/314, 8570/4156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7337/314, 8570/4156 i.e 1/652492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7337/314, 8570/4156.
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 7337/314,8570/4156?
Given fractions are 7337/314,8570/4156
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 7337/314,8570/4156, numerators are 7337,8570
Denominators are 314,4156
The GCF of 7337,8570 is 1 .
LCM of 314,4156 is 652492.
The greatest common factor of 7337/314,8570/4156 = [GCF of 7337,8570]/[LCM of 314,4156]= 1/652492
Therefore, the GCF of 7337/314,8570/4156 is 1/652492.
To find the highest common factor of 7337,8570, 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 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570
The HCF of 7337,8570 is 1.
Lets's calculate GCF of 7337,8570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7337,8570 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 8570
:1,2,5,10,857,1714,4285,8570
Greatest Common Factor
We found the factors 7337,8570 . The biggest common factor number is the GCF number.
So the greatest common factor 7337,8570 is 1.
Lets's calculate LCM of 314,4156
| 2 | 314, 4156 |
| 157, 2078 |
∴ So the LCM of the given numbers is 2 x 157 x 2078 = 652492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652492
Therefore, the GCF of Fractions 7337/314,8570/4156 is 1/652492
Least Common Multiple of 314,4156 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 314,4156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,4156) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,4156) x common factors =2 x 1 = 2
LCM(314,4156) = ( 314 × 4156 ) / 2
LCM(314,4156) = 1304984 / 2
LCM(314,4156) = 652492
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FAQs on GCF of Fractions of 7337/314, 8570/4156
1. What is the HCF of 7337,8570?
The HCF of 7337,8570 is 1
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 7337/314, 8570/4156?
Answer: GCF of Numerators as per given numbers 7337/314, 8570/4156 is
GCF of Numerators i.e. for 7337,8570 is 1
LCM of denominators i.e. for 314,4156 is 652492.
Thus, GCF of Fractions is 1/652492.Finally, GCF of Fractions for 7337/314, 8570/4156 is 1/652492.