GCF of 5753/236, 9748/6446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5753/236, 9748/6446 i.e 1/760628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5753/236, 9748/6446.
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 5753/236,9748/6446?
Given fractions are 5753/236,9748/6446
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 5753/236,9748/6446, numerators are 5753,9748
Denominators are 236,6446
The GCF of 5753,9748 is 1 .
LCM of 236,6446 is 760628.
The greatest common factor of 5753/236,9748/6446 = [GCF of 5753,9748]/[LCM of 236,6446]= 1/760628
Therefore, the GCF of 5753/236,9748/6446 is 1/760628.
To find the highest common factor of 5753,9748, we have to find the factors of both numbers and list the highest common factor.
The factors of 5753 are 1, 11, 523, 5753
The factors of 9748 are 1, 2, 4, 2437, 4874, 9748
The HCF of 5753,9748 is 1.
Lets's calculate GCF of 5753,9748
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5753,9748 By Matching Biggest Common Factor Method
Now, list down the factors of 5753
:1,11,523,5753
Now, list down the factors of 9748
:1,2,4,2437,4874,9748
Greatest Common Factor
We found the factors 5753,9748 . The biggest common factor number is the GCF number.
So the greatest common factor 5753,9748 is 1.
Lets's calculate LCM of 236,6446
| 2 | 236, 6446 |
| 118, 3223 |
∴ So the LCM of the given numbers is 2 x 118 x 3223 = 760628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760628
Therefore, the GCF of Fractions 5753/236,9748/6446 is 1/760628
Least Common Multiple of 236,6446 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 236,6446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,6446) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,6446) x common factors =2 x 1 = 2
LCM(236,6446) = ( 236 × 6446 ) / 2
LCM(236,6446) = 1521256 / 2
LCM(236,6446) = 760628
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FAQs on GCF of Fractions of 5753/236, 9748/6446
1. What is the HCF of 5753,9748?
The HCF of 5753,9748 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 5753/236, 9748/6446?
Answer: GCF of Numerators as per given numbers 5753/236, 9748/6446 is
GCF of Numerators i.e. for 5753,9748 is 1
LCM of denominators i.e. for 236,6446 is 760628.
Thus, GCF of Fractions is 1/760628.Finally, GCF of Fractions for 5753/236, 9748/6446 is 1/760628.