GCF of 5865/373, 7640/8738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5865/373, 7640/8738 i.e 5/3259274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5865/373, 7640/8738.
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 5865/373,7640/8738?
Given fractions are 5865/373,7640/8738
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 5865/373,7640/8738, numerators are 5865,7640
Denominators are 373,8738
The GCF of 5865,7640 is 5 .
LCM of 373,8738 is 3259274.
The greatest common factor of 5865/373,7640/8738 = [GCF of 5865,7640]/[LCM of 373,8738]= 5/3259274
Therefore, the GCF of 5865/373,7640/8738 is 5/3259274.
To find the highest common factor of 5865,7640, we have to find the factors of both numbers and list the highest common factor.
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640
The HCF of 5865,7640 is 5.
Lets's calculate GCF of 5865,7640
| 5 | 5865, 7640 |
| 1173, 1528 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5865,7640 By Matching Biggest Common Factor Method
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Now, list down the factors of 7640
:1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640
Greatest Common Factor
We found the factors 5865,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 5865,7640 is 5.
Lets's calculate LCM of 373,8738
Given numbers has no common factors except 1. So, there LCM is their product i.e 3259274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3259274
Therefore, the GCF of Fractions 5865/373,7640/8738 is 5/3259274
Least Common Multiple of 373,8738 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 373,8738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,8738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,8738) x common factors =1 x 1 = 1
LCM(373,8738) = ( 373 × 8738 ) / 1
LCM(373,8738) = 3259274 / 1
LCM(373,8738) = 3259274
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5865/373, 7640/8738
1. What is the HCF of 5865,7640?
The HCF of 5865,7640 is 5
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 5865/373, 7640/8738?
Answer: GCF of Numerators as per given numbers 5865/373, 7640/8738 is
GCF of Numerators i.e. for 5865,7640 is 5
LCM of denominators i.e. for 373,8738 is 3259274.
Thus, GCF of Fractions is 5/3259274.Finally, GCF of Fractions for 5865/373, 7640/8738 is 5/3259274.