Online GCD Calculator is useful to find the GCD of 584, 352, 141, 140 quickly. Get the easiest ways to solve the greatest common divisor of 584, 352, 141, 140 i.e 1 in different methods as follows.
Given Input numbers are 584, 352, 141, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
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
GCD of numbers is the greatest common divisor
So, the GCD (584, 352, 141, 140) = 1.
Given numbers are 584, 352, 141, 140
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 141 are 3 x 47
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 584, 352, 141, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 352) = 25696
GCD(584, 352) = ( 584 x 352 ) / 25696
= 584 / 352
= 584
Step2:
LCM(8, 141) = 1128
GCD(8, 141) = ( 8 x 141 ) / 1128
= 8 / 141
= 8
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 584, 352, 141, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 352, 141, 140
The greatest common divisor of numbers 584, 352, 141, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 352, 141, 140 is 1.
1. What is the GCD of 584, 352, 141, 140?
GCD of given numbers 584, 352, 141, 140 is 1
2. How to calculate the greatest common divisor of 584, 352, 141, 140?
We can find the highest common divisor of 584, 352, 141, 140 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 584, 352, 141, 140 i.e 1.
3. How can I use the GCD of 584, 352, 141, 140Calculator?
Out the numbers 584, 352, 141, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.