GCF of 3567/320, 6673/4675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3567/320, 6673/4675 i.e 1/299200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3567/320, 6673/4675.
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 3567/320,6673/4675?
Given fractions are 3567/320,6673/4675
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 3567/320,6673/4675, numerators are 3567,6673
Denominators are 320,4675
The GCF of 3567,6673 is 1 .
LCM of 320,4675 is 299200.
The greatest common factor of 3567/320,6673/4675 = [GCF of 3567,6673]/[LCM of 320,4675]= 1/299200
Therefore, the GCF of 3567/320,6673/4675 is 1/299200.
To find the highest common factor of 3567,6673, we have to find the factors of both numbers and list the highest common factor.
The factors of 3567 are 1, 3, 29, 41, 87, 123, 1189, 3567
The factors of 6673 are 1, 6673
The HCF of 3567,6673 is 1.
Lets's calculate GCF of 3567,6673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3567,6673 By Matching Biggest Common Factor Method
Now, list down the factors of 3567
:1,3,29,41,87,123,1189,3567
Now, list down the factors of 6673
:1,6673
Greatest Common Factor
We found the factors 3567,6673 . The biggest common factor number is the GCF number.
So the greatest common factor 3567,6673 is 1.
Lets's calculate LCM of 320,4675
| 5 | 320, 4675 |
| 64, 935 |
∴ So the LCM of the given numbers is 5 x 64 x 935 = 299200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299200
Therefore, the GCF of Fractions 3567/320,6673/4675 is 1/299200
Least Common Multiple of 320,4675 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 320,4675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,4675) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(320,4675) x common factors =5 x 1 = 5
LCM(320,4675) = ( 320 × 4675 ) / 5
LCM(320,4675) = 1496000 / 5
LCM(320,4675) = 299200
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FAQs on GCF of Fractions of 3567/320, 6673/4675
1. What is the HCF of 3567,6673?
The HCF of 3567,6673 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 3567/320, 6673/4675?
Answer: GCF of Numerators as per given numbers 3567/320, 6673/4675 is
GCF of Numerators i.e. for 3567,6673 is 1
LCM of denominators i.e. for 320,4675 is 299200.
Thus, GCF of Fractions is 1/299200.Finally, GCF of Fractions for 3567/320, 6673/4675 is 1/299200.