GCF of 7370/372, 5723/6160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7370/372, 5723/6160 i.e 1/572880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7370/372, 5723/6160.
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 7370/372,5723/6160?
Given fractions are 7370/372,5723/6160
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 7370/372,5723/6160, numerators are 7370,5723
Denominators are 372,6160
The GCF of 7370,5723 is 1 .
LCM of 372,6160 is 572880.
The greatest common factor of 7370/372,5723/6160 = [GCF of 7370,5723]/[LCM of 372,6160]= 1/572880
Therefore, the GCF of 7370/372,5723/6160 is 1/572880.
To find the highest common factor of 7370,5723, we have to find the factors of both numbers and list the highest common factor.
The factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
The factors of 5723 are 1, 59, 97, 5723
The HCF of 7370,5723 is 1.
Lets's calculate GCF of 7370,5723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7370,5723 By Matching Biggest Common Factor Method
Now, list down the factors of 7370
:1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Now, list down the factors of 5723
:1,59,97,5723
Greatest Common Factor
We found the factors 7370,5723 . The biggest common factor number is the GCF number.
So the greatest common factor 7370,5723 is 1.
Lets's calculate LCM of 372,6160
| 2 | 372, 6160 |
| 2 | 186, 3080 |
| 93, 1540 |
∴ So the LCM of the given numbers is 2 x 2 x 93 x 1540 = 572880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572880
Therefore, the GCF of Fractions 7370/372,5723/6160 is 1/572880
Least Common Multiple of 372,6160 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 372,6160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,6160) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(372,6160) x common factors =4 x 1 = 4
LCM(372,6160) = ( 372 × 6160 ) / 4
LCM(372,6160) = 2291520 / 4
LCM(372,6160) = 572880
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7370/372, 5723/6160
1. What is the HCF of 7370,5723?
The HCF of 7370,5723 is 1
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 7370/372, 5723/6160?
Answer: GCF of Numerators as per given numbers 7370/372, 5723/6160 is
GCF of Numerators i.e. for 7370,5723 is 1
LCM of denominators i.e. for 372,6160 is 572880.
Thus, GCF of Fractions is 1/572880.Finally, GCF of Fractions for 7370/372, 5723/6160 is 1/572880.