Online GCD Calculator is useful to find the GCD of 100, 625, 243, 343 quickly. Get the easiest ways to solve the greatest common divisor of 100, 625, 243, 343 i.e 1 in different methods as follows.
Given Input numbers are 100, 625, 243, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 625 :
The positive integer divisors of 625 that completely divides 625 are.
1, 5, 25, 125, 625
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
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 (100, 625, 243, 343) = 1.
Given numbers are 100, 625, 243, 343
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 625 are 5 x 5 x 5 x 5
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
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 100, 625, 243, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 625) = 2500
GCD(100, 625) = ( 100 x 625 ) / 2500
= 100 / 625
= 100
Step2:
LCM(25, 243) = 6075
GCD(25, 243) = ( 25 x 243 ) / 6075
= 25 / 243
= 25
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 100, 625, 243, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 625, 243, 343
The greatest common divisor of numbers 100, 625, 243, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 625, 243, 343 is 1.
1. What is the GCD of 100, 625, 243, 343?
GCD of given numbers 100, 625, 243, 343 is 1
2. How to calculate the greatest common divisor of 100, 625, 243, 343?
We can find the highest common divisor of 100, 625, 243, 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 100, 625, 243, 343 i.e 1.
3. How can I use the GCD of 100, 625, 243, 343Calculator?
Out the numbers 100, 625, 243, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.