Online GCD Calculator is useful to find the GCD of 428, 276, 278, 861 quickly. Get the easiest ways to solve the greatest common divisor of 428, 276, 278, 861 i.e 1 in different methods as follows.
Given Input numbers are 428, 276, 278, 861
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
GCD of numbers is the greatest common divisor
So, the GCD (428, 276, 278, 861) = 1.
Given numbers are 428, 276, 278, 861
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 278 are 2 x 139
Prime factors of 861 are 3 x 7 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 276, 278, 861
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 276) = 29532
GCD(428, 276) = ( 428 x 276 ) / 29532
= 428 / 276
= 428
Step2:
LCM(4, 278) = 556
GCD(4, 278) = ( 4 x 278 ) / 556
= 4 / 278
= 4
Step3:
LCM(2, 861) = 1722
GCD(2, 861) = ( 2 x 861 ) / 1722
= 2 / 861
= 2
So, Greatest Common Divisor of 428, 276, 278, 861 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 276, 278, 861
The greatest common divisor of numbers 428, 276, 278, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 276, 278, 861 is 1.
1. What is the GCD of 428, 276, 278, 861?
GCD of given numbers 428, 276, 278, 861 is 1
2. How to calculate the greatest common divisor of 428, 276, 278, 861?
We can find the highest common divisor of 428, 276, 278, 861 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 428, 276, 278, 861 i.e 1.
3. How can I use the GCD of 428, 276, 278, 861Calculator?
Out the numbers 428, 276, 278, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.