GCF of 3642/243, 5205/5677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3642/243, 5205/5677 i.e 3/1379511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3642/243, 5205/5677.
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 3642/243,5205/5677?
Given fractions are 3642/243,5205/5677
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 3642/243,5205/5677, numerators are 3642,5205
Denominators are 243,5677
The GCF of 3642,5205 is 3 .
LCM of 243,5677 is 1379511.
The greatest common factor of 3642/243,5205/5677 = [GCF of 3642,5205]/[LCM of 243,5677]= 3/1379511
Therefore, the GCF of 3642/243,5205/5677 is 3/1379511.
To find the highest common factor of 3642,5205, 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 5205 are 1, 3, 5, 15, 347, 1041, 1735, 5205
The HCF of 3642,5205 is 3.
Lets's calculate GCF of 3642,5205
| 3 | 3642, 5205 |
| 1214, 1735 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3642,5205 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 5205
:1,3,5,15,347,1041,1735,5205
Greatest Common Factor
We found the factors 3642,5205 . The biggest common factor number is the GCF number.
So the greatest common factor 3642,5205 is 3.
Lets's calculate LCM of 243,5677
Given numbers has no common factors except 1. So, there LCM is their product i.e 1379511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1379511
Therefore, the GCF of Fractions 3642/243,5205/5677 is 3/1379511
Least Common Multiple of 243,5677 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 243,5677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,5677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,5677) x common factors =1 x 1 = 1
LCM(243,5677) = ( 243 × 5677 ) / 1
LCM(243,5677) = 1379511 / 1
LCM(243,5677) = 1379511
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FAQs on GCF of Fractions of 3642/243, 5205/5677
1. What is the HCF of 3642,5205?
The HCF of 3642,5205 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 3642/243, 5205/5677?
Answer: GCF of Numerators as per given numbers 3642/243, 5205/5677 is
GCF of Numerators i.e. for 3642,5205 is 3
LCM of denominators i.e. for 243,5677 is 1379511.
Thus, GCF of Fractions is 3/1379511.Finally, GCF of Fractions for 3642/243, 5205/5677 is 3/1379511.