Online GCD Calculator is useful to find the GCD of 343, 728, 203, 140 quickly. Get the easiest ways to solve the greatest common divisor of 343, 728, 203, 140 i.e 7 in different methods as follows.
Given Input numbers are 343, 728, 203, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (343, 728, 203, 140) = 7.
Given numbers are 343, 728, 203, 140
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 203 are 7 x 29
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 71
Therefore, GCD of 343, 728, 203, 140 is 7.
Given numbers are 343, 728, 203, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 728) = 35672
GCD(343, 728) = ( 343 x 728 ) / 35672
= 343 / 728
= 343
Step2:
LCM(7, 203) = 203
GCD(7, 203) = ( 7 x 203 ) / 203
= 7 / 203
= 7
Step3:
LCM(7, 140) = 140
GCD(7, 140) = ( 7 x 140 ) / 140
= 7 / 140
= 7
So, Greatest Common Divisor of 343, 728, 203, 140 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 728, 203, 140
The greatest common divisor of numbers 343, 728, 203, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 728, 203, 140 is 7.
1. What is the GCD of 343, 728, 203, 140?
GCD of given numbers 343, 728, 203, 140 is 7
2. How to calculate the greatest common divisor of 343, 728, 203, 140?
We can find the highest common divisor of 343, 728, 203, 140 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 343, 728, 203, 140 i.e 7.
3. How can I use the GCD of 343, 728, 203, 140Calculator?
Out the numbers 343, 728, 203, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.