Online GCD Calculator is useful to find the GCD of 700, 744, 321, 898 quickly. Get the easiest ways to solve the greatest common divisor of 700, 744, 321, 898 i.e 1 in different methods as follows.
Given Input numbers are 700, 744, 321, 898
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 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (700, 744, 321, 898) = 1.
Given numbers are 700, 744, 321, 898
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 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 321 are 3 x 107
Prime factors of 898 are 2 x 449
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 700, 744, 321, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 744) = 130200
GCD(700, 744) = ( 700 x 744 ) / 130200
= 700 / 744
= 700
Step2:
LCM(4, 321) = 1284
GCD(4, 321) = ( 4 x 321 ) / 1284
= 4 / 321
= 4
Step3:
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
= 1 / 898
= 1
So, Greatest Common Divisor of 700, 744, 321, 898 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 744, 321, 898
The greatest common divisor of numbers 700, 744, 321, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 744, 321, 898 is 1.
1. What is the GCD of 700, 744, 321, 898?
GCD of given numbers 700, 744, 321, 898 is 1
2. How to calculate the greatest common divisor of 700, 744, 321, 898?
We can find the highest common divisor of 700, 744, 321, 898 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, 744, 321, 898 i.e 1.
3. How can I use the GCD of 700, 744, 321, 898Calculator?
Out the numbers 700, 744, 321, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.