GCF of 2295/105, 3753/6323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2295/105, 3753/6323 i.e 27/663915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2295/105, 3753/6323.
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 2295/105,3753/6323?
Given fractions are 2295/105,3753/6323
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 2295/105,3753/6323, numerators are 2295,3753
Denominators are 105,6323
The GCF of 2295,3753 is 27 .
LCM of 105,6323 is 663915.
The greatest common factor of 2295/105,3753/6323 = [GCF of 2295,3753]/[LCM of 105,6323]= 27/663915
Therefore, the GCF of 2295/105,3753/6323 is 27/663915.
To find the highest common factor of 2295,3753, we have to find the factors of both numbers and list the highest common factor.
The factors of 2295 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765, 2295
The factors of 3753 are 1, 3, 9, 27, 139, 417, 1251, 3753
The HCF of 2295,3753 is 27.
Lets's calculate GCF of 2295,3753
| 3 | 2295, 3753 |
| 3 | 765, 1251 |
| 3 | 255, 417 |
| 85, 139 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 2295,3753 By Matching Biggest Common Factor Method
Now, list down the factors of 2295
:1,3,5,9,15,17,27,45,51,85,135,153,255,459,765,2295
Now, list down the factors of 3753
:1,3,9,27,139,417,1251,3753
Greatest Common Factor
We found the factors 2295,3753 . The biggest common factor number is the GCF number.
So the greatest common factor 2295,3753 is 27.
Lets's calculate LCM of 105,6323
Given numbers has no common factors except 1. So, there LCM is their product i.e 663915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/663915
Therefore, the GCF of Fractions 2295/105,3753/6323 is 27/663915
Least Common Multiple of 105,6323 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 105,6323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,6323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,6323) x common factors =1 x 1 = 1
LCM(105,6323) = ( 105 × 6323 ) / 1
LCM(105,6323) = 663915 / 1
LCM(105,6323) = 663915
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FAQs on GCF of Fractions of 2295/105, 3753/6323
1. What is the HCF of 2295,3753?
The HCF of 2295,3753 is 27
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 2295/105, 3753/6323?
Answer: GCF of Numerators as per given numbers 2295/105, 3753/6323 is
GCF of Numerators i.e. for 2295,3753 is 27
LCM of denominators i.e. for 105,6323 is 663915.
Thus, GCF of Fractions is 27/663915.Finally, GCF of Fractions for 2295/105, 3753/6323 is 27/663915.