GCF of 6382/595, 8345/8955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6382/595, 8345/8955 i.e 1/1065645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6382/595, 8345/8955.
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 6382/595,8345/8955?
Given fractions are 6382/595,8345/8955
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 6382/595,8345/8955, numerators are 6382,8345
Denominators are 595,8955
The GCF of 6382,8345 is 1 .
LCM of 595,8955 is 1065645.
The greatest common factor of 6382/595,8345/8955 = [GCF of 6382,8345]/[LCM of 595,8955]= 1/1065645
Therefore, the GCF of 6382/595,8345/8955 is 1/1065645.
To find the highest common factor of 6382,8345, we have to find the factors of both numbers and list the highest common factor.
The factors of 6382 are 1, 2, 3191, 6382
The factors of 8345 are 1, 5, 1669, 8345
The HCF of 6382,8345 is 1.
Lets's calculate GCF of 6382,8345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6382,8345 By Matching Biggest Common Factor Method
Now, list down the factors of 6382
:1,2,3191,6382
Now, list down the factors of 8345
:1,5,1669,8345
Greatest Common Factor
We found the factors 6382,8345 . The biggest common factor number is the GCF number.
So the greatest common factor 6382,8345 is 1.
Lets's calculate LCM of 595,8955
| 5 | 595, 8955 |
| 119, 1791 |
∴ So the LCM of the given numbers is 5 x 119 x 1791 = 1065645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1065645
Therefore, the GCF of Fractions 6382/595,8345/8955 is 1/1065645
Least Common Multiple of 595,8955 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 595,8955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,8955) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(595,8955) x common factors =5 x 1 = 5
LCM(595,8955) = ( 595 × 8955 ) / 5
LCM(595,8955) = 5328225 / 5
LCM(595,8955) = 1065645
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6382/595, 8345/8955
1. What is the HCF of 6382,8345?
The HCF of 6382,8345 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 6382/595, 8345/8955?
Answer: GCF of Numerators as per given numbers 6382/595, 8345/8955 is
GCF of Numerators i.e. for 6382,8345 is 1
LCM of denominators i.e. for 595,8955 is 1065645.
Thus, GCF of Fractions is 1/1065645.Finally, GCF of Fractions for 6382/595, 8345/8955 is 1/1065645.