Online GCD Calculator is useful to find the GCD of 700, 687, 261, 838 quickly. Get the easiest ways to solve the greatest common divisor of 700, 687, 261, 838 i.e 1 in different methods as follows.
Given Input numbers are 700, 687, 261, 838
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 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (700, 687, 261, 838) = 1.
Given numbers are 700, 687, 261, 838
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 687 are 3 x 229
Prime factors of 261 are 3 x 3 x 29
Prime factors of 838 are 2 x 419
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 700, 687, 261, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 687) = 480900
GCD(700, 687) = ( 700 x 687 ) / 480900
= 700 / 687
= 700
Step2:
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
= 1 / 261
= 1
Step3:
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
= 1 / 838
= 1
So, Greatest Common Divisor of 700, 687, 261, 838 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 687, 261, 838
The greatest common divisor of numbers 700, 687, 261, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 687, 261, 838 is 1.
1. What is the GCD of 700, 687, 261, 838?
GCD of given numbers 700, 687, 261, 838 is 1
2. How to calculate the greatest common divisor of 700, 687, 261, 838?
We can find the highest common divisor of 700, 687, 261, 838 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, 687, 261, 838 i.e 1.
3. How can I use the GCD of 700, 687, 261, 838Calculator?
Out the numbers 700, 687, 261, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.