Online GCD Calculator is useful to find the GCD of 734, 945, 725, 142 quickly. Get the easiest ways to solve the greatest common divisor of 734, 945, 725, 142 i.e 1 in different methods as follows.
Given Input numbers are 734, 945, 725, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
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 (734, 945, 725, 142) = 1.
Given numbers are 734, 945, 725, 142
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 725 are 5 x 5 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 734, 945, 725, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 945) = 693630
GCD(734, 945) = ( 734 x 945 ) / 693630
= 734 / 945
= 734
Step2:
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
= 1 / 725
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 734, 945, 725, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 734, 945, 725, 142
The greatest common divisor of numbers 734, 945, 725, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 945, 725, 142 is 1.
1. What is the GCD of 734, 945, 725, 142?
GCD of given numbers 734, 945, 725, 142 is 1
2. How to calculate the greatest common divisor of 734, 945, 725, 142?
We can find the highest common divisor of 734, 945, 725, 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 734, 945, 725, 142 i.e 1.
3. How can I use the GCD of 734, 945, 725, 142Calculator?
Out the numbers 734, 945, 725, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.