Online GCD Calculator is useful to find the GCD of 142, 135, 378, 535 quickly. Get the easiest ways to solve the greatest common divisor of 142, 135, 378, 535 i.e 1 in different methods as follows.
Given Input numbers are 142, 135, 378, 535
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 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
GCD of numbers is the greatest common divisor
So, the GCD (142, 135, 378, 535) = 1.
Given numbers are 142, 135, 378, 535
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 535 are 5 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 135, 378, 535
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 135) = 19170
GCD(142, 135) = ( 142 x 135 ) / 19170
= 142 / 135
= 142
Step2:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
Step3:
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
= 1 / 535
= 1
So, Greatest Common Divisor of 142, 135, 378, 535 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 135, 378, 535
The greatest common divisor of numbers 142, 135, 378, 535 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 135, 378, 535 is 1.
1. What is the GCD of 142, 135, 378, 535?
GCD of given numbers 142, 135, 378, 535 is 1
2. How to calculate the greatest common divisor of 142, 135, 378, 535?
We can find the highest common divisor of 142, 135, 378, 535 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, 135, 378, 535 i.e 1.
3. How can I use the GCD of 142, 135, 378, 535Calculator?
Out the numbers 142, 135, 378, 535 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.