GCF of 6195/975, 3669/2169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6195/975, 3669/2169 i.e 3/704925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6195/975, 3669/2169.
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 6195/975,3669/2169?
Given fractions are 6195/975,3669/2169
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 6195/975,3669/2169, numerators are 6195,3669
Denominators are 975,2169
The GCF of 6195,3669 is 3 .
LCM of 975,2169 is 704925.
The greatest common factor of 6195/975,3669/2169 = [GCF of 6195,3669]/[LCM of 975,2169]= 3/704925
Therefore, the GCF of 6195/975,3669/2169 is 3/704925.
To find the highest common factor of 6195,3669, we have to find the factors of both numbers and list the highest common factor.
The factors of 6195 are 1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065, 6195
The factors of 3669 are 1, 3, 1223, 3669
The HCF of 6195,3669 is 3.
Lets's calculate GCF of 6195,3669
| 3 | 6195, 3669 |
| 2065, 1223 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6195,3669 By Matching Biggest Common Factor Method
Now, list down the factors of 6195
:1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195
Now, list down the factors of 3669
:1,3,1223,3669
Greatest Common Factor
We found the factors 6195,3669 . The biggest common factor number is the GCF number.
So the greatest common factor 6195,3669 is 3.
Lets's calculate LCM of 975,2169
| 3 | 975, 2169 |
| 325, 723 |
∴ So the LCM of the given numbers is 3 x 325 x 723 = 704925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/704925
Therefore, the GCF of Fractions 6195/975,3669/2169 is 3/704925
Least Common Multiple of 975,2169 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 975,2169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,2169) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,2169) x common factors =3 x 1 = 3
LCM(975,2169) = ( 975 × 2169 ) / 3
LCM(975,2169) = 2114775 / 3
LCM(975,2169) = 704925
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FAQs on GCF of Fractions of 6195/975, 3669/2169
1. What is the HCF of 6195,3669?
The HCF of 6195,3669 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 6195/975, 3669/2169?
Answer: GCF of Numerators as per given numbers 6195/975, 3669/2169 is
GCF of Numerators i.e. for 6195,3669 is 3
LCM of denominators i.e. for 975,2169 is 704925.
Thus, GCF of Fractions is 3/704925.Finally, GCF of Fractions for 6195/975, 3669/2169 is 3/704925.