GCF of 3544/228, 5636/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3544/228, 5636/398 i.e 4/45372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3544/228, 5636/398.
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 3544/228,5636/398?
Given fractions are 3544/228,5636/398
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 3544/228,5636/398, numerators are 3544,5636
Denominators are 228,398
The GCF of 3544,5636 is 4 .
LCM of 228,398 is 45372.
The greatest common factor of 3544/228,5636/398 = [GCF of 3544,5636]/[LCM of 228,398]= 4/45372
Therefore, the GCF of 3544/228,5636/398 is 4/45372.
To find the highest common factor of 3544,5636, we have to find the factors of both numbers and list the highest common factor.
The factors of 3544 are 1, 2, 4, 8, 443, 886, 1772, 3544
The factors of 5636 are 1, 2, 4, 1409, 2818, 5636
The HCF of 3544,5636 is 4.
Lets's calculate GCF of 3544,5636
| 2 | 3544, 5636 |
| 2 | 1772, 2818 |
| 886, 1409 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3544,5636 By Matching Biggest Common Factor Method
Now, list down the factors of 3544
:1,2,4,8,443,886,1772,3544
Now, list down the factors of 5636
:1,2,4,1409,2818,5636
Greatest Common Factor
We found the factors 3544,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 3544,5636 is 4.
Lets's calculate LCM of 228,398
| 2 | 228, 398 |
| 114, 199 |
∴ So the LCM of the given numbers is 2 x 114 x 199 = 45372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/45372
Therefore, the GCF of Fractions 3544/228,5636/398 is 4/45372
Least Common Multiple of 228,398 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 228,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(228,398) x common factors =2 x 1 = 2
LCM(228,398) = ( 228 × 398 ) / 2
LCM(228,398) = 90744 / 2
LCM(228,398) = 45372
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FAQs on GCF of Fractions of 3544/228, 5636/398
1. What is the HCF of 3544,5636?
The HCF of 3544,5636 is 4
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 3544/228, 5636/398?
Answer: GCF of Numerators as per given numbers 3544/228, 5636/398 is
GCF of Numerators i.e. for 3544,5636 is 4
LCM of denominators i.e. for 228,398 is 45372.
Thus, GCF of Fractions is 4/45372.Finally, GCF of Fractions for 3544/228, 5636/398 is 4/45372.