GCF of 6645/202, 3921/539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6645/202, 3921/539 i.e 3/108878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6645/202, 3921/539.
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 6645/202,3921/539?
Given fractions are 6645/202,3921/539
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 6645/202,3921/539, numerators are 6645,3921
Denominators are 202,539
The GCF of 6645,3921 is 3 .
LCM of 202,539 is 108878.
The greatest common factor of 6645/202,3921/539 = [GCF of 6645,3921]/[LCM of 202,539]= 3/108878
Therefore, the GCF of 6645/202,3921/539 is 3/108878.
To find the highest common factor of 6645,3921, we have to find the factors of both numbers and list the highest common factor.
The factors of 6645 are 1, 3, 5, 15, 443, 1329, 2215, 6645
The factors of 3921 are 1, 3, 1307, 3921
The HCF of 6645,3921 is 3.
Lets's calculate GCF of 6645,3921
| 3 | 6645, 3921 |
| 2215, 1307 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6645,3921 By Matching Biggest Common Factor Method
Now, list down the factors of 6645
:1,3,5,15,443,1329,2215,6645
Now, list down the factors of 3921
:1,3,1307,3921
Greatest Common Factor
We found the factors 6645,3921 . The biggest common factor number is the GCF number.
So the greatest common factor 6645,3921 is 3.
Lets's calculate LCM of 202,539
Given numbers has no common factors except 1. So, there LCM is their product i.e 108878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/108878
Therefore, the GCF of Fractions 6645/202,3921/539 is 3/108878
Least Common Multiple of 202,539 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 202,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,539) x common factors =1 x 1 = 1
LCM(202,539) = ( 202 × 539 ) / 1
LCM(202,539) = 108878 / 1
LCM(202,539) = 108878
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FAQs on GCF of Fractions of 6645/202, 3921/539
1. What is the HCF of 6645,3921?
The HCF of 6645,3921 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 6645/202, 3921/539?
Answer: GCF of Numerators as per given numbers 6645/202, 3921/539 is
GCF of Numerators i.e. for 6645,3921 is 3
LCM of denominators i.e. for 202,539 is 108878.
Thus, GCF of Fractions is 3/108878.Finally, GCF of Fractions for 6645/202, 3921/539 is 3/108878.