Online GCD Calculator is useful to find the GCD of 985, 735, 692, 746 quickly. Get the easiest ways to solve the greatest common divisor of 985, 735, 692, 746 i.e 1 in different methods as follows.
Given Input numbers are 985, 735, 692, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 985 :
The positive integer divisors of 985 that completely divides 985 are.
1, 5, 197, 985
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (985, 735, 692, 746) = 1.
Given numbers are 985, 735, 692, 746
The list of prime factors of all numbers are
Prime factors of 985 are 5 x 197
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 692 are 2 x 2 x 173
Prime factors of 746 are 2 x 373
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 985, 735, 692, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(985, 735) = 144795
GCD(985, 735) = ( 985 x 735 ) / 144795
= 985 / 735
= 985
Step2:
LCM(5, 692) = 3460
GCD(5, 692) = ( 5 x 692 ) / 3460
= 5 / 692
= 5
Step3:
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
= 1 / 746
= 1
So, Greatest Common Divisor of 985, 735, 692, 746 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 985, 735, 692, 746
The greatest common divisor of numbers 985, 735, 692, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 985, 735, 692, 746 is 1.
1. What is the GCD of 985, 735, 692, 746?
GCD of given numbers 985, 735, 692, 746 is 1
2. How to calculate the greatest common divisor of 985, 735, 692, 746?
We can find the highest common divisor of 985, 735, 692, 746 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 985, 735, 692, 746 i.e 1.
3. How can I use the GCD of 985, 735, 692, 746Calculator?
Out the numbers 985, 735, 692, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.