Online GCD Calculator is useful to find the GCD of 340, 440, 87, 142 quickly. Get the easiest ways to solve the greatest common divisor of 340, 440, 87, 142 i.e 1 in different methods as follows.
Given Input numbers are 340, 440, 87, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 87 :
The positive integer divisors of 87 that completely divides 87 are.
1, 3, 29, 87
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (340, 440, 87, 142) = 1.
Given numbers are 340, 440, 87, 142
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 87 are 3 x 29
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 340, 440, 87, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 440) = 7480
GCD(340, 440) = ( 340 x 440 ) / 7480
= 340 / 440
= 340
Step2:
LCM(20, 87) = 1740
GCD(20, 87) = ( 20 x 87 ) / 1740
= 20 / 87
= 20
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 340, 440, 87, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 440, 87, 142
The greatest common divisor of numbers 340, 440, 87, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 440, 87, 142 is 1.
1. What is the GCD of 340, 440, 87, 142?
GCD of given numbers 340, 440, 87, 142 is 1
2. How to calculate the greatest common divisor of 340, 440, 87, 142?
We can find the highest common divisor of 340, 440, 87, 142 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 340, 440, 87, 142 i.e 1.
3. How can I use the GCD of 340, 440, 87, 142Calculator?
Out the numbers 340, 440, 87, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.