Online GCD Calculator is useful to find the GCD of 972, 677, 421, 753 quickly. Get the easiest ways to solve the greatest common divisor of 972, 677, 421, 753 i.e 1 in different methods as follows.
Given Input numbers are 972, 677, 421, 753
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
GCD of numbers is the greatest common divisor
So, the GCD (972, 677, 421, 753) = 1.
Given numbers are 972, 677, 421, 753
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 677 are 677
Prime factors of 421 are 421
Prime factors of 753 are 3 x 251
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 677, 421, 753
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 677) = 658044
GCD(972, 677) = ( 972 x 677 ) / 658044
= 972 / 677
= 972
Step2:
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
= 1 / 421
= 1
Step3:
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
= 1 / 753
= 1
So, Greatest Common Divisor of 972, 677, 421, 753 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 677, 421, 753
The greatest common divisor of numbers 972, 677, 421, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 677, 421, 753 is 1.
1. What is the GCD of 972, 677, 421, 753?
GCD of given numbers 972, 677, 421, 753 is 1
2. How to calculate the greatest common divisor of 972, 677, 421, 753?
We can find the highest common divisor of 972, 677, 421, 753 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 972, 677, 421, 753 i.e 1.
3. How can I use the GCD of 972, 677, 421, 753Calculator?
Out the numbers 972, 677, 421, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.