Online GCD Calculator is useful to find the GCD of 692, 338, 745, 140 quickly. Get the easiest ways to solve the greatest common divisor of 692, 338, 745, 140 i.e 1 in different methods as follows.
Given Input numbers are 692, 338, 745, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (692, 338, 745, 140) = 1.
Given numbers are 692, 338, 745, 140
The list of prime factors of all numbers are
Prime factors of 692 are 2 x 2 x 173
Prime factors of 338 are 2 x 13 x 13
Prime factors of 745 are 5 x 149
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 692, 338, 745, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(692, 338) = 116948
GCD(692, 338) = ( 692 x 338 ) / 116948
= 692 / 338
= 692
Step2:
LCM(2, 745) = 1490
GCD(2, 745) = ( 2 x 745 ) / 1490
= 2 / 745
= 2
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 692, 338, 745, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 692, 338, 745, 140
The greatest common divisor of numbers 692, 338, 745, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 338, 745, 140 is 1.
1. What is the GCD of 692, 338, 745, 140?
GCD of given numbers 692, 338, 745, 140 is 1
2. How to calculate the greatest common divisor of 692, 338, 745, 140?
We can find the highest common divisor of 692, 338, 745, 140 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 692, 338, 745, 140 i.e 1.
3. How can I use the GCD of 692, 338, 745, 140Calculator?
Out the numbers 692, 338, 745, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.