GCF of 6364/519, 4300/8483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6364/519, 4300/8483 i.e 172/4402677 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6364/519, 4300/8483.
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 6364/519,4300/8483?
Given fractions are 6364/519,4300/8483
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 6364/519,4300/8483, numerators are 6364,4300
Denominators are 519,8483
The GCF of 6364,4300 is 172 .
LCM of 519,8483 is 4402677.
The greatest common factor of 6364/519,4300/8483 = [GCF of 6364,4300]/[LCM of 519,8483]= 172/4402677
Therefore, the GCF of 6364/519,4300/8483 is 172/4402677.
To find the highest common factor of 6364,4300, we have to find the factors of both numbers and list the highest common factor.
The factors of 6364 are 1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364
The factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300
The HCF of 6364,4300 is 172.
Lets's calculate GCF of 6364,4300
| 2 | 6364, 4300 |
| 2 | 3182, 2150 |
| 43 | 1591, 1075 |
| 37, 25 |
∴ So the GCF of the given numbers is 2 x 2 x 43 = 172
Greatest Common Factor of 6364,4300 By Matching Biggest Common Factor Method
Now, list down the factors of 6364
:1,2,4,37,43,74,86,148,172,1591,3182,6364
Now, list down the factors of 4300
:1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300
Greatest Common Factor
We found the factors 6364,4300 . The biggest common factor number is the GCF number.
So the greatest common factor 6364,4300 is 172.
Lets's calculate LCM of 519,8483
Given numbers has no common factors except 1. So, there LCM is their product i.e 4402677
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 172/4402677
Therefore, the GCF of Fractions 6364/519,4300/8483 is 172/4402677
Least Common Multiple of 519,8483 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 519,8483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,8483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,8483) x common factors =1 x 1 = 1
LCM(519,8483) = ( 519 × 8483 ) / 1
LCM(519,8483) = 4402677 / 1
LCM(519,8483) = 4402677
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6364/519, 4300/8483
1. What is the HCF of 6364,4300?
The HCF of 6364,4300 is 172
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 6364/519, 4300/8483?
Answer: GCF of Numerators as per given numbers 6364/519, 4300/8483 is
GCF of Numerators i.e. for 6364,4300 is 172
LCM of denominators i.e. for 519,8483 is 4402677.
Thus, GCF of Fractions is 172/4402677.Finally, GCF of Fractions for 6364/519, 4300/8483 is 172/4402677.