Online GCD Calculator is useful to find the GCD of 977, 705, 948, 576 quickly. Get the easiest ways to solve the greatest common divisor of 977, 705, 948, 576 i.e 1 in different methods as follows.
Given Input numbers are 977, 705, 948, 576
In the factoring method, we have to find the divisors of all numbers
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
GCD of numbers is the greatest common divisor
So, the GCD (977, 705, 948, 576) = 1.
Given numbers are 977, 705, 948, 576
The list of prime factors of all numbers are
Prime factors of 977 are 977
Prime factors of 705 are 3 x 5 x 47
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 977, 705, 948, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(977, 705) = 688785
GCD(977, 705) = ( 977 x 705 ) / 688785
= 977 / 705
= 977
Step2:
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
= 1 / 948
= 1
Step3:
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
= 1 / 576
= 1
So, Greatest Common Divisor of 977, 705, 948, 576 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 977, 705, 948, 576
The greatest common divisor of numbers 977, 705, 948, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 705, 948, 576 is 1.
1. What is the GCD of 977, 705, 948, 576?
GCD of given numbers 977, 705, 948, 576 is 1
2. How to calculate the greatest common divisor of 977, 705, 948, 576?
We can find the highest common divisor of 977, 705, 948, 576 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 977, 705, 948, 576 i.e 1.
3. How can I use the GCD of 977, 705, 948, 576Calculator?
Out the numbers 977, 705, 948, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.