GCF of 2254/437, 5243/9805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2254/437, 5243/9805 i.e 49/4284785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2254/437, 5243/9805.
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 2254/437,5243/9805?
Given fractions are 2254/437,5243/9805
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 2254/437,5243/9805, numerators are 2254,5243
Denominators are 437,9805
The GCF of 2254,5243 is 49 .
LCM of 437,9805 is 4284785.
The greatest common factor of 2254/437,5243/9805 = [GCF of 2254,5243]/[LCM of 437,9805]= 49/4284785
Therefore, the GCF of 2254/437,5243/9805 is 49/4284785.
To find the highest common factor of 2254,5243, we have to find the factors of both numbers and list the highest common factor.
The factors of 2254 are 1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254
The factors of 5243 are 1, 7, 49, 107, 749, 5243
The HCF of 2254,5243 is 49.
Lets's calculate GCF of 2254,5243
| 7 | 2254, 5243 |
| 7 | 322, 749 |
| 46, 107 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 2254,5243 By Matching Biggest Common Factor Method
Now, list down the factors of 2254
:1,2,7,14,23,46,49,98,161,322,1127,2254
Now, list down the factors of 5243
:1,7,49,107,749,5243
Greatest Common Factor
We found the factors 2254,5243 . The biggest common factor number is the GCF number.
So the greatest common factor 2254,5243 is 49.
Lets's calculate LCM of 437,9805
Given numbers has no common factors except 1. So, there LCM is their product i.e 4284785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/4284785
Therefore, the GCF of Fractions 2254/437,5243/9805 is 49/4284785
Least Common Multiple of 437,9805 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 437,9805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,9805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,9805) x common factors =1 x 1 = 1
LCM(437,9805) = ( 437 × 9805 ) / 1
LCM(437,9805) = 4284785 / 1
LCM(437,9805) = 4284785
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FAQs on GCF of Fractions of 2254/437, 5243/9805
1. What is the HCF of 2254,5243?
The HCF of 2254,5243 is 49
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 2254/437, 5243/9805?
Answer: GCF of Numerators as per given numbers 2254/437, 5243/9805 is
GCF of Numerators i.e. for 2254,5243 is 49
LCM of denominators i.e. for 437,9805 is 4284785.
Thus, GCF of Fractions is 49/4284785.Finally, GCF of Fractions for 2254/437, 5243/9805 is 49/4284785.