Online GCD Calculator is useful to find the GCD of 356, 870, 398, 769 quickly. Get the easiest ways to solve the greatest common divisor of 356, 870, 398, 769 i.e 1 in different methods as follows.
Given Input numbers are 356, 870, 398, 769
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
GCD of numbers is the greatest common divisor
So, the GCD (356, 870, 398, 769) = 1.
Given numbers are 356, 870, 398, 769
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 398 are 2 x 199
Prime factors of 769 are 769
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 356, 870, 398, 769
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 870) = 154860
GCD(356, 870) = ( 356 x 870 ) / 154860
= 356 / 870
= 356
Step2:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
Step3:
LCM(2, 769) = 1538
GCD(2, 769) = ( 2 x 769 ) / 1538
= 2 / 769
= 2
So, Greatest Common Divisor of 356, 870, 398, 769 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 870, 398, 769
The greatest common divisor of numbers 356, 870, 398, 769 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 870, 398, 769 is 1.
1. What is the GCD of 356, 870, 398, 769?
GCD of given numbers 356, 870, 398, 769 is 1
2. How to calculate the greatest common divisor of 356, 870, 398, 769?
We can find the highest common divisor of 356, 870, 398, 769 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 356, 870, 398, 769 i.e 1.
3. How can I use the GCD of 356, 870, 398, 769Calculator?
Out the numbers 356, 870, 398, 769 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.