GCF of 8303/772, 3542/437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8303/772, 3542/437 i.e 23/337364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8303/772, 3542/437.
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 8303/772,3542/437?
Given fractions are 8303/772,3542/437
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 8303/772,3542/437, numerators are 8303,3542
Denominators are 772,437
The GCF of 8303,3542 is 23 .
LCM of 772,437 is 337364.
The greatest common factor of 8303/772,3542/437 = [GCF of 8303,3542]/[LCM of 772,437]= 23/337364
Therefore, the GCF of 8303/772,3542/437 is 23/337364.
To find the highest common factor of 8303,3542, we have to find the factors of both numbers and list the highest common factor.
The factors of 8303 are 1, 19, 23, 361, 437, 8303
The factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542
The HCF of 8303,3542 is 23.
Lets's calculate GCF of 8303,3542
| 23 | 8303, 3542 |
| 361, 154 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 8303,3542 By Matching Biggest Common Factor Method
Now, list down the factors of 8303
:1,19,23,361,437,8303
Now, list down the factors of 3542
:1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542
Greatest Common Factor
We found the factors 8303,3542 . The biggest common factor number is the GCF number.
So the greatest common factor 8303,3542 is 23.
Lets's calculate LCM of 772,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 337364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/337364
Therefore, the GCF of Fractions 8303/772,3542/437 is 23/337364
Least Common Multiple of 772,437 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 772,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,437) x common factors =1 x 1 = 1
LCM(772,437) = ( 772 × 437 ) / 1
LCM(772,437) = 337364 / 1
LCM(772,437) = 337364
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FAQs on GCF of Fractions of 8303/772, 3542/437
1. What is the HCF of 8303,3542?
The HCF of 8303,3542 is 23
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 8303/772, 3542/437?
Answer: GCF of Numerators as per given numbers 8303/772, 3542/437 is
GCF of Numerators i.e. for 8303,3542 is 23
LCM of denominators i.e. for 772,437 is 337364.
Thus, GCF of Fractions is 23/337364.Finally, GCF of Fractions for 8303/772, 3542/437 is 23/337364.