Online GCD Calculator is useful to find the GCD of 140, 361, 787, 972 quickly. Get the easiest ways to solve the greatest common divisor of 140, 361, 787, 972 i.e 1 in different methods as follows.
Given Input numbers are 140, 361, 787, 972
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (140, 361, 787, 972) = 1.
Given numbers are 140, 361, 787, 972
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 361 are 19 x 19
Prime factors of 787 are 787
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 140, 361, 787, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 361) = 50540
GCD(140, 361) = ( 140 x 361 ) / 50540
= 140 / 361
= 140
Step2:
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
= 1 / 787
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 140, 361, 787, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 361, 787, 972
The greatest common divisor of numbers 140, 361, 787, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 361, 787, 972 is 1.
1. What is the GCD of 140, 361, 787, 972?
GCD of given numbers 140, 361, 787, 972 is 1
2. How to calculate the greatest common divisor of 140, 361, 787, 972?
We can find the highest common divisor of 140, 361, 787, 972 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 140, 361, 787, 972 i.e 1.
3. How can I use the GCD of 140, 361, 787, 972Calculator?
Out the numbers 140, 361, 787, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.