Online GCD Calculator is useful to find the GCD of 648, 740, 746, 977 quickly. Get the easiest ways to solve the greatest common divisor of 648, 740, 746, 977 i.e 1 in different methods as follows.
Given Input numbers are 648, 740, 746, 977
In the factoring method, we have to find the divisors of all numbers
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
GCD of numbers is the greatest common divisor
So, the GCD (648, 740, 746, 977) = 1.
Given numbers are 648, 740, 746, 977
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 746 are 2 x 373
Prime factors of 977 are 977
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 648, 740, 746, 977
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 740) = 119880
GCD(648, 740) = ( 648 x 740 ) / 119880
= 648 / 740
= 648
Step2:
LCM(4, 746) = 1492
GCD(4, 746) = ( 4 x 746 ) / 1492
= 4 / 746
= 4
Step3:
LCM(2, 977) = 1954
GCD(2, 977) = ( 2 x 977 ) / 1954
= 2 / 977
= 2
So, Greatest Common Divisor of 648, 740, 746, 977 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 740, 746, 977
The greatest common divisor of numbers 648, 740, 746, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 740, 746, 977 is 1.
1. What is the GCD of 648, 740, 746, 977?
GCD of given numbers 648, 740, 746, 977 is 1
2. How to calculate the greatest common divisor of 648, 740, 746, 977?
We can find the highest common divisor of 648, 740, 746, 977 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 648, 740, 746, 977 i.e 1.
3. How can I use the GCD of 648, 740, 746, 977Calculator?
Out the numbers 648, 740, 746, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.