Online GCD Calculator is useful to find the GCD of 140, 542, 784, 359 quickly. Get the easiest ways to solve the greatest common divisor of 140, 542, 784, 359 i.e 1 in different methods as follows.
Given Input numbers are 140, 542, 784, 359
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
GCD of numbers is the greatest common divisor
So, the GCD (140, 542, 784, 359) = 1.
Given numbers are 140, 542, 784, 359
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 542 are 2 x 271
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 359 are 359
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 140, 542, 784, 359
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 542) = 37940
GCD(140, 542) = ( 140 x 542 ) / 37940
= 140 / 542
= 140
Step2:
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
= 2 / 784
= 2
Step3:
LCM(2, 359) = 718
GCD(2, 359) = ( 2 x 359 ) / 718
= 2 / 359
= 2
So, Greatest Common Divisor of 140, 542, 784, 359 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 542, 784, 359
The greatest common divisor of numbers 140, 542, 784, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 542, 784, 359 is 1.
1. What is the GCD of 140, 542, 784, 359?
GCD of given numbers 140, 542, 784, 359 is 1
2. How to calculate the greatest common divisor of 140, 542, 784, 359?
We can find the highest common divisor of 140, 542, 784, 359 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 140, 542, 784, 359 i.e 1.
3. How can I use the GCD of 140, 542, 784, 359Calculator?
Out the numbers 140, 542, 784, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.