Online GCD Calculator is useful to find the GCD of 276, 142, 856, 749 quickly. Get the easiest ways to solve the greatest common divisor of 276, 142, 856, 749 i.e 1 in different methods as follows.
Given Input numbers are 276, 142, 856, 749
In the factoring method, we have to find the divisors of all numbers
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 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (276, 142, 856, 749) = 1.
Given numbers are 276, 142, 856, 749
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 142 are 2 x 71
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 276, 142, 856, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 142) = 19596
GCD(276, 142) = ( 276 x 142 ) / 19596
= 276 / 142
= 276
Step2:
LCM(2, 856) = 856
GCD(2, 856) = ( 2 x 856 ) / 856
= 2 / 856
= 2
Step3:
LCM(2, 749) = 1498
GCD(2, 749) = ( 2 x 749 ) / 1498
= 2 / 749
= 2
So, Greatest Common Divisor of 276, 142, 856, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 276, 142, 856, 749
The greatest common divisor of numbers 276, 142, 856, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 142, 856, 749 is 1.
1. What is the GCD of 276, 142, 856, 749?
GCD of given numbers 276, 142, 856, 749 is 1
2. How to calculate the greatest common divisor of 276, 142, 856, 749?
We can find the highest common divisor of 276, 142, 856, 749 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 276, 142, 856, 749 i.e 1.
3. How can I use the GCD of 276, 142, 856, 749Calculator?
Out the numbers 276, 142, 856, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.