GCF of 2373/623, 7305/9082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2373/623, 7305/9082 i.e 3/5658086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2373/623, 7305/9082.
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 2373/623,7305/9082?
Given fractions are 2373/623,7305/9082
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 2373/623,7305/9082, numerators are 2373,7305
Denominators are 623,9082
The GCF of 2373,7305 is 3 .
LCM of 623,9082 is 5658086.
The greatest common factor of 2373/623,7305/9082 = [GCF of 2373,7305]/[LCM of 623,9082]= 3/5658086
Therefore, the GCF of 2373/623,7305/9082 is 3/5658086.
To find the highest common factor of 2373,7305, we have to find the factors of both numbers and list the highest common factor.
The factors of 2373 are 1, 3, 7, 21, 113, 339, 791, 2373
The factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305
The HCF of 2373,7305 is 3.
Lets's calculate GCF of 2373,7305
| 3 | 2373, 7305 |
| 791, 2435 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2373,7305 By Matching Biggest Common Factor Method
Now, list down the factors of 2373
:1,3,7,21,113,339,791,2373
Now, list down the factors of 7305
:1,3,5,15,487,1461,2435,7305
Greatest Common Factor
We found the factors 2373,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 2373,7305 is 3.
Lets's calculate LCM of 623,9082
Given numbers has no common factors except 1. So, there LCM is their product i.e 5658086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5658086
Therefore, the GCF of Fractions 2373/623,7305/9082 is 3/5658086
Least Common Multiple of 623,9082 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 623,9082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,9082) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,9082) x common factors =1 x 1 = 1
LCM(623,9082) = ( 623 × 9082 ) / 1
LCM(623,9082) = 5658086 / 1
LCM(623,9082) = 5658086
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2373/623, 7305/9082
1. What is the HCF of 2373,7305?
The HCF of 2373,7305 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 2373/623, 7305/9082?
Answer: GCF of Numerators as per given numbers 2373/623, 7305/9082 is
GCF of Numerators i.e. for 2373,7305 is 3
LCM of denominators i.e. for 623,9082 is 5658086.
Thus, GCF of Fractions is 3/5658086.Finally, GCF of Fractions for 2373/623, 7305/9082 is 3/5658086.