Online GCD Calculator is useful to find the GCD of 142, 862, 345, 688 quickly. Get the easiest ways to solve the greatest common divisor of 142, 862, 345, 688 i.e 1 in different methods as follows.
Given Input numbers are 142, 862, 345, 688
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 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (142, 862, 345, 688) = 1.
Given numbers are 142, 862, 345, 688
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 862 are 2 x 431
Prime factors of 345 are 3 x 5 x 23
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 862, 345, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 862) = 61202
GCD(142, 862) = ( 142 x 862 ) / 61202
= 142 / 862
= 142
Step2:
LCM(2, 345) = 690
GCD(2, 345) = ( 2 x 345 ) / 690
= 2 / 345
= 2
Step3:
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
= 1 / 688
= 1
So, Greatest Common Divisor of 142, 862, 345, 688 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 862, 345, 688
The greatest common divisor of numbers 142, 862, 345, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 862, 345, 688 is 1.
1. What is the GCD of 142, 862, 345, 688?
GCD of given numbers 142, 862, 345, 688 is 1
2. How to calculate the greatest common divisor of 142, 862, 345, 688?
We can find the highest common divisor of 142, 862, 345, 688 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, 862, 345, 688 i.e 1.
3. How can I use the GCD of 142, 862, 345, 688Calculator?
Out the numbers 142, 862, 345, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.