Online GCD Calculator is useful to find the GCD of 142, 274, 689, 988 quickly. Get the easiest ways to solve the greatest common divisor of 142, 274, 689, 988 i.e 1 in different methods as follows.
Given Input numbers are 142, 274, 689, 988
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 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (142, 274, 689, 988) = 1.
Given numbers are 142, 274, 689, 988
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 274 are 2 x 137
Prime factors of 689 are 13 x 53
Prime factors of 988 are 2 x 2 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 274, 689, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 274) = 19454
GCD(142, 274) = ( 142 x 274 ) / 19454
= 142 / 274
= 142
Step2:
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
= 2 / 689
= 2
Step3:
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
= 1 / 988
= 1
So, Greatest Common Divisor of 142, 274, 689, 988 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 274, 689, 988
The greatest common divisor of numbers 142, 274, 689, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 274, 689, 988 is 1.
1. What is the GCD of 142, 274, 689, 988?
GCD of given numbers 142, 274, 689, 988 is 1
2. How to calculate the greatest common divisor of 142, 274, 689, 988?
We can find the highest common divisor of 142, 274, 689, 988 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, 274, 689, 988 i.e 1.
3. How can I use the GCD of 142, 274, 689, 988Calculator?
Out the numbers 142, 274, 689, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.