GCF of 5627/567, 3855/3384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5627/567, 3855/3384 i.e 1/213192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5627/567, 3855/3384.
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 5627/567,3855/3384?
Given fractions are 5627/567,3855/3384
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 5627/567,3855/3384, numerators are 5627,3855
Denominators are 567,3384
The GCF of 5627,3855 is 1 .
LCM of 567,3384 is 213192.
The greatest common factor of 5627/567,3855/3384 = [GCF of 5627,3855]/[LCM of 567,3384]= 1/213192
Therefore, the GCF of 5627/567,3855/3384 is 1/213192.
To find the highest common factor of 5627,3855, we have to find the factors of both numbers and list the highest common factor.
The factors of 5627 are 1, 17, 331, 5627
The factors of 3855 are 1, 3, 5, 15, 257, 771, 1285, 3855
The HCF of 5627,3855 is 1.
Lets's calculate GCF of 5627,3855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5627,3855 By Matching Biggest Common Factor Method
Now, list down the factors of 5627
:1,17,331,5627
Now, list down the factors of 3855
:1,3,5,15,257,771,1285,3855
Greatest Common Factor
We found the factors 5627,3855 . The biggest common factor number is the GCF number.
So the greatest common factor 5627,3855 is 1.
Lets's calculate LCM of 567,3384
| 3 | 567, 3384 |
| 3 | 189, 1128 |
| 63, 376 |
∴ So the LCM of the given numbers is 3 x 3 x 63 x 376 = 213192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213192
Therefore, the GCF of Fractions 5627/567,3855/3384 is 1/213192
Least Common Multiple of 567,3384 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 567,3384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,3384) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(567,3384) x common factors =9 x 1 = 9
LCM(567,3384) = ( 567 × 3384 ) / 9
LCM(567,3384) = 1918728 / 9
LCM(567,3384) = 213192
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FAQs on GCF of Fractions of 5627/567, 3855/3384
1. What is the HCF of 5627,3855?
The HCF of 5627,3855 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 5627/567, 3855/3384?
Answer: GCF of Numerators as per given numbers 5627/567, 3855/3384 is
GCF of Numerators i.e. for 5627,3855 is 1
LCM of denominators i.e. for 567,3384 is 213192.
Thus, GCF of Fractions is 1/213192.Finally, GCF of Fractions for 5627/567, 3855/3384 is 1/213192.