Online GCD Calculator is useful to find the GCD of 426, 692, 903, 100 quickly. Get the easiest ways to solve the greatest common divisor of 426, 692, 903, 100 i.e 1 in different methods as follows.
Given Input numbers are 426, 692, 903, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (426, 692, 903, 100) = 1.
Given numbers are 426, 692, 903, 100
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 692 are 2 x 2 x 173
Prime factors of 903 are 3 x 7 x 43
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 426, 692, 903, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 692) = 147396
GCD(426, 692) = ( 426 x 692 ) / 147396
= 426 / 692
= 426
Step2:
LCM(2, 903) = 1806
GCD(2, 903) = ( 2 x 903 ) / 1806
= 2 / 903
= 2
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 426, 692, 903, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 692, 903, 100
The greatest common divisor of numbers 426, 692, 903, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 692, 903, 100 is 1.
1. What is the GCD of 426, 692, 903, 100?
GCD of given numbers 426, 692, 903, 100 is 1
2. How to calculate the greatest common divisor of 426, 692, 903, 100?
We can find the highest common divisor of 426, 692, 903, 100 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 426, 692, 903, 100 i.e 1.
3. How can I use the GCD of 426, 692, 903, 100Calculator?
Out the numbers 426, 692, 903, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.