Online GCD Calculator is useful to find the GCD of 685, 120, 707, 892 quickly. Get the easiest ways to solve the greatest common divisor of 685, 120, 707, 892 i.e 1 in different methods as follows.
Given Input numbers are 685, 120, 707, 892
In the factoring method, we have to find the divisors of all numbers
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (685, 120, 707, 892) = 1.
Given numbers are 685, 120, 707, 892
The list of prime factors of all numbers are
Prime factors of 685 are 5 x 137
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 707 are 7 x 101
Prime factors of 892 are 2 x 2 x 223
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 685, 120, 707, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(685, 120) = 16440
GCD(685, 120) = ( 685 x 120 ) / 16440
= 685 / 120
= 685
Step2:
LCM(5, 707) = 3535
GCD(5, 707) = ( 5 x 707 ) / 3535
= 5 / 707
= 5
Step3:
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
= 1 / 892
= 1
So, Greatest Common Divisor of 685, 120, 707, 892 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 685, 120, 707, 892
The greatest common divisor of numbers 685, 120, 707, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 120, 707, 892 is 1.
1. What is the GCD of 685, 120, 707, 892?
GCD of given numbers 685, 120, 707, 892 is 1
2. How to calculate the greatest common divisor of 685, 120, 707, 892?
We can find the highest common divisor of 685, 120, 707, 892 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 685, 120, 707, 892 i.e 1.
3. How can I use the GCD of 685, 120, 707, 892Calculator?
Out the numbers 685, 120, 707, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.