Online GCD Calculator is useful to find the GCD of 628, 218, 140, 343 quickly. Get the easiest ways to solve the greatest common divisor of 628, 218, 140, 343 i.e 1 in different methods as follows.
Given Input numbers are 628, 218, 140, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
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
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (628, 218, 140, 343) = 1.
Given numbers are 628, 218, 140, 343
The list of prime factors of all numbers are
Prime factors of 628 are 2 x 2 x 157
Prime factors of 218 are 2 x 109
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 628, 218, 140, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(628, 218) = 68452
GCD(628, 218) = ( 628 x 218 ) / 68452
= 628 / 218
= 628
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
So, Greatest Common Divisor of 628, 218, 140, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 628, 218, 140, 343
The greatest common divisor of numbers 628, 218, 140, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 218, 140, 343 is 1.
1. What is the GCD of 628, 218, 140, 343?
GCD of given numbers 628, 218, 140, 343 is 1
2. How to calculate the greatest common divisor of 628, 218, 140, 343?
We can find the highest common divisor of 628, 218, 140, 343 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 628, 218, 140, 343 i.e 1.
3. How can I use the GCD of 628, 218, 140, 343Calculator?
Out the numbers 628, 218, 140, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.