Online GCD Calculator is useful to find the GCD of 869, 420, 546, 700 quickly. Get the easiest ways to solve the greatest common divisor of 869, 420, 546, 700 i.e 1 in different methods as follows.
Given Input numbers are 869, 420, 546, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
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 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
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
GCD of numbers is the greatest common divisor
So, the GCD (869, 420, 546, 700) = 1.
Given numbers are 869, 420, 546, 700
The list of prime factors of all numbers are
Prime factors of 869 are 11 x 79
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 869, 420, 546, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(869, 420) = 364980
GCD(869, 420) = ( 869 x 420 ) / 364980
= 869 / 420
= 869
Step2:
LCM(1, 546) = 546
GCD(1, 546) = ( 1 x 546 ) / 546
= 1 / 546
= 1
Step3:
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
= 1 / 700
= 1
So, Greatest Common Divisor of 869, 420, 546, 700 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 869, 420, 546, 700
The greatest common divisor of numbers 869, 420, 546, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 869, 420, 546, 700 is 1.
1. What is the GCD of 869, 420, 546, 700?
GCD of given numbers 869, 420, 546, 700 is 1
2. How to calculate the greatest common divisor of 869, 420, 546, 700?
We can find the highest common divisor of 869, 420, 546, 700 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 869, 420, 546, 700 i.e 1.
3. How can I use the GCD of 869, 420, 546, 700Calculator?
Out the numbers 869, 420, 546, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.