Online GCD Calculator is useful to find the GCD of 189, 637, 707, 674 quickly. Get the easiest ways to solve the greatest common divisor of 189, 637, 707, 674 i.e 1 in different methods as follows.
Given Input numbers are 189, 637, 707, 674
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 637 :
The positive integer divisors of 637 that completely divides 637 are.
1, 7, 13, 49, 91, 637
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
GCD of numbers is the greatest common divisor
So, the GCD (189, 637, 707, 674) = 1.
Given numbers are 189, 637, 707, 674
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 637 are 7 x 7 x 13
Prime factors of 707 are 7 x 101
Prime factors of 674 are 2 x 337
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 637, 707, 674
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 637) = 17199
GCD(189, 637) = ( 189 x 637 ) / 17199
= 189 / 637
= 189
Step2:
LCM(7, 707) = 707
GCD(7, 707) = ( 7 x 707 ) / 707
= 7 / 707
= 7
Step3:
LCM(7, 674) = 4718
GCD(7, 674) = ( 7 x 674 ) / 4718
= 7 / 674
= 7
So, Greatest Common Divisor of 189, 637, 707, 674 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 637, 707, 674
The greatest common divisor of numbers 189, 637, 707, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 637, 707, 674 is 1.
1. What is the GCD of 189, 637, 707, 674?
GCD of given numbers 189, 637, 707, 674 is 1
2. How to calculate the greatest common divisor of 189, 637, 707, 674?
We can find the highest common divisor of 189, 637, 707, 674 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 189, 637, 707, 674 i.e 1.
3. How can I use the GCD of 189, 637, 707, 674Calculator?
Out the numbers 189, 637, 707, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.