GCF of 6673/184, 3675/6121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6673/184, 3675/6121 i.e 1/1126264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6673/184, 3675/6121.
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 6673/184,3675/6121?
Given fractions are 6673/184,3675/6121
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 6673/184,3675/6121, numerators are 6673,3675
Denominators are 184,6121
The GCF of 6673,3675 is 1 .
LCM of 184,6121 is 1126264.
The greatest common factor of 6673/184,3675/6121 = [GCF of 6673,3675]/[LCM of 184,6121]= 1/1126264
Therefore, the GCF of 6673/184,3675/6121 is 1/1126264.
To find the highest common factor of 6673,3675, we have to find the factors of both numbers and list the highest common factor.
The factors of 6673 are 1, 6673
The factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675
The HCF of 6673,3675 is 1.
Lets's calculate GCF of 6673,3675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6673,3675 By Matching Biggest Common Factor Method
Now, list down the factors of 6673
:1,6673
Now, list down the factors of 3675
:1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675
Greatest Common Factor
We found the factors 6673,3675 . The biggest common factor number is the GCF number.
So the greatest common factor 6673,3675 is 1.
Lets's calculate LCM of 184,6121
Given numbers has no common factors except 1. So, there LCM is their product i.e 1126264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1126264
Therefore, the GCF of Fractions 6673/184,3675/6121 is 1/1126264
Least Common Multiple of 184,6121 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 184,6121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,6121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,6121) x common factors =1 x 1 = 1
LCM(184,6121) = ( 184 × 6121 ) / 1
LCM(184,6121) = 1126264 / 1
LCM(184,6121) = 1126264
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FAQs on GCF of Fractions of 6673/184, 3675/6121
1. What is the HCF of 6673,3675?
The HCF of 6673,3675 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 6673/184, 3675/6121?
Answer: GCF of Numerators as per given numbers 6673/184, 3675/6121 is
GCF of Numerators i.e. for 6673,3675 is 1
LCM of denominators i.e. for 184,6121 is 1126264.
Thus, GCF of Fractions is 1/1126264.Finally, GCF of Fractions for 6673/184, 3675/6121 is 1/1126264.