Online GCD Calculator is useful to find the GCD of 961, 821, 745, 980 quickly. Get the easiest ways to solve the greatest common divisor of 961, 821, 745, 980 i.e 1 in different methods as follows.
Given Input numbers are 961, 821, 745, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 961 :
The positive integer divisors of 961 that completely divides 961 are.
1, 31, 961
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
GCD of numbers is the greatest common divisor
So, the GCD (961, 821, 745, 980) = 1.
Given numbers are 961, 821, 745, 980
The list of prime factors of all numbers are
Prime factors of 961 are 31 x 31
Prime factors of 821 are 821
Prime factors of 745 are 5 x 149
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 961, 821, 745, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(961, 821) = 788981
GCD(961, 821) = ( 961 x 821 ) / 788981
= 961 / 821
= 961
Step2:
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
= 1 / 745
= 1
Step3:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
So, Greatest Common Divisor of 961, 821, 745, 980 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 961, 821, 745, 980
The greatest common divisor of numbers 961, 821, 745, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 821, 745, 980 is 1.
1. What is the GCD of 961, 821, 745, 980?
GCD of given numbers 961, 821, 745, 980 is 1
2. How to calculate the greatest common divisor of 961, 821, 745, 980?
We can find the highest common divisor of 961, 821, 745, 980 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 961, 821, 745, 980 i.e 1.
3. How can I use the GCD of 961, 821, 745, 980Calculator?
Out the numbers 961, 821, 745, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.