GCF of 5673/919, 9585/6831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5673/919, 9585/6831 i.e 3/6277689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5673/919, 9585/6831.
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 5673/919,9585/6831?
Given fractions are 5673/919,9585/6831
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 5673/919,9585/6831, numerators are 5673,9585
Denominators are 919,6831
The GCF of 5673,9585 is 3 .
LCM of 919,6831 is 6277689.
The greatest common factor of 5673/919,9585/6831 = [GCF of 5673,9585]/[LCM of 919,6831]= 3/6277689
Therefore, the GCF of 5673/919,9585/6831 is 3/6277689.
To find the highest common factor of 5673,9585, we have to find the factors of both numbers and list the highest common factor.
The factors of 5673 are 1, 3, 31, 61, 93, 183, 1891, 5673
The factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585
The HCF of 5673,9585 is 3.
Lets's calculate GCF of 5673,9585
| 3 | 5673, 9585 |
| 1891, 3195 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5673,9585 By Matching Biggest Common Factor Method
Now, list down the factors of 5673
:1,3,31,61,93,183,1891,5673
Now, list down the factors of 9585
:1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585
Greatest Common Factor
We found the factors 5673,9585 . The biggest common factor number is the GCF number.
So the greatest common factor 5673,9585 is 3.
Lets's calculate LCM of 919,6831
Given numbers has no common factors except 1. So, there LCM is their product i.e 6277689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6277689
Therefore, the GCF of Fractions 5673/919,9585/6831 is 3/6277689
Least Common Multiple of 919,6831 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 919,6831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,6831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,6831) x common factors =1 x 1 = 1
LCM(919,6831) = ( 919 × 6831 ) / 1
LCM(919,6831) = 6277689 / 1
LCM(919,6831) = 6277689
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5673/919, 9585/6831
1. What is the HCF of 5673,9585?
The HCF of 5673,9585 is 3
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 5673/919, 9585/6831?
Answer: GCF of Numerators as per given numbers 5673/919, 9585/6831 is
GCF of Numerators i.e. for 5673,9585 is 3
LCM of denominators i.e. for 919,6831 is 6277689.
Thus, GCF of Fractions is 3/6277689.Finally, GCF of Fractions for 5673/919, 9585/6831 is 3/6277689.