Online GCD Calculator is useful to find the GCD of 142, 756, 692 quickly. Get the easiest ways to solve the greatest common divisor of 142, 756, 692 i.e 2 in different methods as follows.
Given Input numbers are 142, 756, 692
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
GCD of numbers is the greatest common divisor
So, the GCD (142, 756, 692) = 2.
Given numbers are 142, 756, 692
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 692 are 2 x 2 x 173
The highest common occurrence is 21
Therefore, GCD of 142, 756, 692 is 2.
Given numbers are 142, 756, 692
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 756) = 53676
GCD(142, 756) = ( 142 x 756 ) / 53676
= 142 / 756
= 142
Step2:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
So, Greatest Common Divisor of 142, 756, 692 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 756, 692
The greatest common divisor of numbers 142, 756, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 756, 692 is 2.
1. What is the GCD of 142, 756, 692?
GCD of given numbers 142, 756, 692 is 2
2. How to calculate the greatest common divisor of 142, 756, 692?
We can find the highest common divisor of 142, 756, 692 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 142, 756, 692 i.e 2.
3. How can I use the GCD of 142, 756, 692Calculator?
Out the numbers 142, 756, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.