Online GCD Calculator is useful to find the GCD of 428, 707, 838, 705 quickly. Get the easiest ways to solve the greatest common divisor of 428, 707, 838, 705 i.e 1 in different methods as follows.
Given Input numbers are 428, 707, 838, 705
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 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (428, 707, 838, 705) = 1.
Given numbers are 428, 707, 838, 705
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 707 are 7 x 101
Prime factors of 838 are 2 x 419
Prime factors of 705 are 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 707, 838, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 707) = 302596
GCD(428, 707) = ( 428 x 707 ) / 302596
= 428 / 707
= 428
Step2:
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
= 1 / 838
= 1
Step3:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
So, Greatest Common Divisor of 428, 707, 838, 705 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 707, 838, 705
The greatest common divisor of numbers 428, 707, 838, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 707, 838, 705 is 1.
1. What is the GCD of 428, 707, 838, 705?
GCD of given numbers 428, 707, 838, 705 is 1
2. How to calculate the greatest common divisor of 428, 707, 838, 705?
We can find the highest common divisor of 428, 707, 838, 705 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, 707, 838, 705 i.e 1.
3. How can I use the GCD of 428, 707, 838, 705Calculator?
Out the numbers 428, 707, 838, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.