GCF of 3642/257, 4695/6327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3642/257, 4695/6327 i.e 3/1626039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3642/257, 4695/6327.
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 3642/257,4695/6327?
Given fractions are 3642/257,4695/6327
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 3642/257,4695/6327, numerators are 3642,4695
Denominators are 257,6327
The GCF of 3642,4695 is 3 .
LCM of 257,6327 is 1626039.
The greatest common factor of 3642/257,4695/6327 = [GCF of 3642,4695]/[LCM of 257,6327]= 3/1626039
Therefore, the GCF of 3642/257,4695/6327 is 3/1626039.
To find the highest common factor of 3642,4695, we have to find the factors of both numbers and list the highest common factor.
The factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642
The factors of 4695 are 1, 3, 5, 15, 313, 939, 1565, 4695
The HCF of 3642,4695 is 3.
Lets's calculate GCF of 3642,4695
| 3 | 3642, 4695 |
| 1214, 1565 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3642,4695 By Matching Biggest Common Factor Method
Now, list down the factors of 3642
:1,2,3,6,607,1214,1821,3642
Now, list down the factors of 4695
:1,3,5,15,313,939,1565,4695
Greatest Common Factor
We found the factors 3642,4695 . The biggest common factor number is the GCF number.
So the greatest common factor 3642,4695 is 3.
Lets's calculate LCM of 257,6327
Given numbers has no common factors except 1. So, there LCM is their product i.e 1626039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1626039
Therefore, the GCF of Fractions 3642/257,4695/6327 is 3/1626039
Least Common Multiple of 257,6327 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 257,6327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,6327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,6327) x common factors =1 x 1 = 1
LCM(257,6327) = ( 257 × 6327 ) / 1
LCM(257,6327) = 1626039 / 1
LCM(257,6327) = 1626039
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FAQs on GCF of Fractions of 3642/257, 4695/6327
1. What is the HCF of 3642,4695?
The HCF of 3642,4695 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 3642/257, 4695/6327?
Answer: GCF of Numerators as per given numbers 3642/257, 4695/6327 is
GCF of Numerators i.e. for 3642,4695 is 3
LCM of denominators i.e. for 257,6327 is 1626039.
Thus, GCF of Fractions is 3/1626039.Finally, GCF of Fractions for 3642/257, 4695/6327 is 3/1626039.