GCF of 6353/481, 6532/1980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6353/481, 6532/1980 i.e 1/952380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6353/481, 6532/1980.
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 6353/481,6532/1980?
Given fractions are 6353/481,6532/1980
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 6353/481,6532/1980, numerators are 6353,6532
Denominators are 481,1980
The GCF of 6353,6532 is 1 .
LCM of 481,1980 is 952380.
The greatest common factor of 6353/481,6532/1980 = [GCF of 6353,6532]/[LCM of 481,1980]= 1/952380
Therefore, the GCF of 6353/481,6532/1980 is 1/952380.
To find the highest common factor of 6353,6532, we have to find the factors of both numbers and list the highest common factor.
The factors of 6353 are 1, 6353
The factors of 6532 are 1, 2, 4, 23, 46, 71, 92, 142, 284, 1633, 3266, 6532
The HCF of 6353,6532 is 1.
Lets's calculate GCF of 6353,6532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6353,6532 By Matching Biggest Common Factor Method
Now, list down the factors of 6353
:1,6353
Now, list down the factors of 6532
:1,2,4,23,46,71,92,142,284,1633,3266,6532
Greatest Common Factor
We found the factors 6353,6532 . The biggest common factor number is the GCF number.
So the greatest common factor 6353,6532 is 1.
Lets's calculate LCM of 481,1980
Given numbers has no common factors except 1. So, there LCM is their product i.e 952380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/952380
Therefore, the GCF of Fractions 6353/481,6532/1980 is 1/952380
Least Common Multiple of 481,1980 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 481,1980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,1980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,1980) x common factors =1 x 1 = 1
LCM(481,1980) = ( 481 × 1980 ) / 1
LCM(481,1980) = 952380 / 1
LCM(481,1980) = 952380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6353/481, 6532/1980
1. What is the HCF of 6353,6532?
The HCF of 6353,6532 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 6353/481, 6532/1980?
Answer: GCF of Numerators as per given numbers 6353/481, 6532/1980 is
GCF of Numerators i.e. for 6353,6532 is 1
LCM of denominators i.e. for 481,1980 is 952380.
Thus, GCF of Fractions is 1/952380.Finally, GCF of Fractions for 6353/481, 6532/1980 is 1/952380.