Online GCD Calculator is useful to find the GCD of 861, 693, 946, 253 quickly. Get the easiest ways to solve the greatest common divisor of 861, 693, 946, 253 i.e 1 in different methods as follows.
Given Input numbers are 861, 693, 946, 253
In the factoring method, we have to find the divisors of all numbers
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
GCD of numbers is the greatest common divisor
So, the GCD (861, 693, 946, 253) = 1.
Given numbers are 861, 693, 946, 253
The list of prime factors of all numbers are
Prime factors of 861 are 3 x 7 x 41
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 946 are 2 x 11 x 43
Prime factors of 253 are 11 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 861, 693, 946, 253
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(861, 693) = 28413
GCD(861, 693) = ( 861 x 693 ) / 28413
= 861 / 693
= 861
Step2:
LCM(21, 946) = 19866
GCD(21, 946) = ( 21 x 946 ) / 19866
= 21 / 946
= 21
Step3:
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
= 1 / 253
= 1
So, Greatest Common Divisor of 861, 693, 946, 253 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 861, 693, 946, 253
The greatest common divisor of numbers 861, 693, 946, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 693, 946, 253 is 1.
1. What is the GCD of 861, 693, 946, 253?
GCD of given numbers 861, 693, 946, 253 is 1
2. How to calculate the greatest common divisor of 861, 693, 946, 253?
We can find the highest common divisor of 861, 693, 946, 253 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 861, 693, 946, 253 i.e 1.
3. How can I use the GCD of 861, 693, 946, 253Calculator?
Out the numbers 861, 693, 946, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.