Online GCD Calculator is useful to find the GCD of 500, 295, 420, 154 quickly. Get the easiest ways to solve the greatest common divisor of 500, 295, 420, 154 i.e 1 in different methods as follows.
Given Input numbers are 500, 295, 420, 154
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 295 :
The positive integer divisors of 295 that completely divides 295 are.
1, 5, 59, 295
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
GCD of numbers is the greatest common divisor
So, the GCD (500, 295, 420, 154) = 1.
Given numbers are 500, 295, 420, 154
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 295 are 5 x 59
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 154 are 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 295, 420, 154
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 295) = 29500
GCD(500, 295) = ( 500 x 295 ) / 29500
= 500 / 295
= 500
Step2:
LCM(5, 420) = 420
GCD(5, 420) = ( 5 x 420 ) / 420
= 5 / 420
= 5
Step3:
LCM(5, 154) = 770
GCD(5, 154) = ( 5 x 154 ) / 770
= 5 / 154
= 5
So, Greatest Common Divisor of 500, 295, 420, 154 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 295, 420, 154
The greatest common divisor of numbers 500, 295, 420, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 295, 420, 154 is 1.
1. What is the GCD of 500, 295, 420, 154?
GCD of given numbers 500, 295, 420, 154 is 1
2. How to calculate the greatest common divisor of 500, 295, 420, 154?
We can find the highest common divisor of 500, 295, 420, 154 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 500, 295, 420, 154 i.e 1.
3. How can I use the GCD of 500, 295, 420, 154Calculator?
Out the numbers 500, 295, 420, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.