Online GCD Calculator is useful to find the GCD of 700, 221, 658, 465 quickly. Get the easiest ways to solve the greatest common divisor of 700, 221, 658, 465 i.e 1 in different methods as follows.
Given Input numbers are 700, 221, 658, 465
In the factoring method, we have to find the divisors of all numbers
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (700, 221, 658, 465) = 1.
Given numbers are 700, 221, 658, 465
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 221 are 13 x 17
Prime factors of 658 are 2 x 7 x 47
Prime factors of 465 are 3 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 700, 221, 658, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 221) = 154700
GCD(700, 221) = ( 700 x 221 ) / 154700
= 700 / 221
= 700
Step2:
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
= 1 / 658
= 1
Step3:
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
= 1 / 465
= 1
So, Greatest Common Divisor of 700, 221, 658, 465 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 221, 658, 465
The greatest common divisor of numbers 700, 221, 658, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 221, 658, 465 is 1.
1. What is the GCD of 700, 221, 658, 465?
GCD of given numbers 700, 221, 658, 465 is 1
2. How to calculate the greatest common divisor of 700, 221, 658, 465?
We can find the highest common divisor of 700, 221, 658, 465 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 700, 221, 658, 465 i.e 1.
3. How can I use the GCD of 700, 221, 658, 465Calculator?
Out the numbers 700, 221, 658, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.