Online GCD Calculator is useful to find the GCD of 840, 189, 707, 711 quickly. Get the easiest ways to solve the greatest common divisor of 840, 189, 707, 711 i.e 1 in different methods as follows.
Given Input numbers are 840, 189, 707, 711
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
GCD of numbers is the greatest common divisor
So, the GCD (840, 189, 707, 711) = 1.
Given numbers are 840, 189, 707, 711
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 707 are 7 x 101
Prime factors of 711 are 3 x 3 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 840, 189, 707, 711
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 189) = 7560
GCD(840, 189) = ( 840 x 189 ) / 7560
= 840 / 189
= 840
Step2:
LCM(21, 707) = 2121
GCD(21, 707) = ( 21 x 707 ) / 2121
= 21 / 707
= 21
Step3:
LCM(7, 711) = 4977
GCD(7, 711) = ( 7 x 711 ) / 4977
= 7 / 711
= 7
So, Greatest Common Divisor of 840, 189, 707, 711 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 189, 707, 711
The greatest common divisor of numbers 840, 189, 707, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 189, 707, 711 is 1.
1. What is the GCD of 840, 189, 707, 711?
GCD of given numbers 840, 189, 707, 711 is 1
2. How to calculate the greatest common divisor of 840, 189, 707, 711?
We can find the highest common divisor of 840, 189, 707, 711 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 840, 189, 707, 711 i.e 1.
3. How can I use the GCD of 840, 189, 707, 711Calculator?
Out the numbers 840, 189, 707, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.