GCF of 8337/864, 1736/482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8337/864, 1736/482 i.e 7/208224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8337/864, 1736/482.
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 8337/864,1736/482?
Given fractions are 8337/864,1736/482
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 8337/864,1736/482, numerators are 8337,1736
Denominators are 864,482
The GCF of 8337,1736 is 7 .
LCM of 864,482 is 208224.
The greatest common factor of 8337/864,1736/482 = [GCF of 8337,1736]/[LCM of 864,482]= 7/208224
Therefore, the GCF of 8337/864,1736/482 is 7/208224.
To find the highest common factor of 8337,1736, we have to find the factors of both numbers and list the highest common factor.
The factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337
The factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736
The HCF of 8337,1736 is 7.
Lets's calculate GCF of 8337,1736
| 7 | 8337, 1736 |
| 1191, 248 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8337,1736 By Matching Biggest Common Factor Method
Now, list down the factors of 8337
:1,3,7,21,397,1191,2779,8337
Now, list down the factors of 1736
:1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736
Greatest Common Factor
We found the factors 8337,1736 . The biggest common factor number is the GCF number.
So the greatest common factor 8337,1736 is 7.
Lets's calculate LCM of 864,482
| 2 | 864, 482 |
| 432, 241 |
∴ So the LCM of the given numbers is 2 x 432 x 241 = 208224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/208224
Therefore, the GCF of Fractions 8337/864,1736/482 is 7/208224
Least Common Multiple of 864,482 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 864,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(864,482) x common factors =2 x 1 = 2
LCM(864,482) = ( 864 × 482 ) / 2
LCM(864,482) = 416448 / 2
LCM(864,482) = 208224
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FAQs on GCF of Fractions of 8337/864, 1736/482
1. What is the HCF of 8337,1736?
The HCF of 8337,1736 is 7
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 8337/864, 1736/482?
Answer: GCF of Numerators as per given numbers 8337/864, 1736/482 is
GCF of Numerators i.e. for 8337,1736 is 7
LCM of denominators i.e. for 864,482 is 208224.
Thus, GCF of Fractions is 7/208224.Finally, GCF of Fractions for 8337/864, 1736/482 is 7/208224.