GCF of 3534/849, 1228/5784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3534/849, 1228/5784 i.e 2/1636872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3534/849, 1228/5784.
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 3534/849,1228/5784?
Given fractions are 3534/849,1228/5784
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 3534/849,1228/5784, numerators are 3534,1228
Denominators are 849,5784
The GCF of 3534,1228 is 2 .
LCM of 849,5784 is 1636872.
The greatest common factor of 3534/849,1228/5784 = [GCF of 3534,1228]/[LCM of 849,5784]= 2/1636872
Therefore, the GCF of 3534/849,1228/5784 is 2/1636872.
To find the highest common factor of 3534,1228, we have to find the factors of both numbers and list the highest common factor.
The factors of 3534 are 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767, 3534
The factors of 1228 are 1, 2, 4, 307, 614, 1228
The HCF of 3534,1228 is 2.
Lets's calculate GCF of 3534,1228
| 2 | 3534, 1228 |
| 1767, 614 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3534,1228 By Matching Biggest Common Factor Method
Now, list down the factors of 3534
:1,2,3,6,19,31,38,57,62,93,114,186,589,1178,1767,3534
Now, list down the factors of 1228
:1,2,4,307,614,1228
Greatest Common Factor
We found the factors 3534,1228 . The biggest common factor number is the GCF number.
So the greatest common factor 3534,1228 is 2.
Lets's calculate LCM of 849,5784
| 3 | 849, 5784 |
| 283, 1928 |
∴ So the LCM of the given numbers is 3 x 283 x 1928 = 1636872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1636872
Therefore, the GCF of Fractions 3534/849,1228/5784 is 2/1636872
Least Common Multiple of 849,5784 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 849,5784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,5784) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,5784) x common factors =3 x 1 = 3
LCM(849,5784) = ( 849 × 5784 ) / 3
LCM(849,5784) = 4910616 / 3
LCM(849,5784) = 1636872
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FAQs on GCF of Fractions of 3534/849, 1228/5784
1. What is the HCF of 3534,1228?
The HCF of 3534,1228 is 2
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 3534/849, 1228/5784?
Answer: GCF of Numerators as per given numbers 3534/849, 1228/5784 is
GCF of Numerators i.e. for 3534,1228 is 2
LCM of denominators i.e. for 849,5784 is 1636872.
Thus, GCF of Fractions is 2/1636872.Finally, GCF of Fractions for 3534/849, 1228/5784 is 2/1636872.