Online GCD Calculator is useful to find the GCD of 649, 100, 698, 771 quickly. Get the easiest ways to solve the greatest common divisor of 649, 100, 698, 771 i.e 1 in different methods as follows.
Given Input numbers are 649, 100, 698, 771
In the factoring method, we have to find the divisors of all numbers
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
GCD of numbers is the greatest common divisor
So, the GCD (649, 100, 698, 771) = 1.
Given numbers are 649, 100, 698, 771
The list of prime factors of all numbers are
Prime factors of 649 are 11 x 59
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 698 are 2 x 349
Prime factors of 771 are 3 x 257
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 649, 100, 698, 771
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(649, 100) = 64900
GCD(649, 100) = ( 649 x 100 ) / 64900
= 649 / 100
= 649
Step2:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
Step3:
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
= 1 / 771
= 1
So, Greatest Common Divisor of 649, 100, 698, 771 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 649, 100, 698, 771
The greatest common divisor of numbers 649, 100, 698, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 649, 100, 698, 771 is 1.
1. What is the GCD of 649, 100, 698, 771?
GCD of given numbers 649, 100, 698, 771 is 1
2. How to calculate the greatest common divisor of 649, 100, 698, 771?
We can find the highest common divisor of 649, 100, 698, 771 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 649, 100, 698, 771 i.e 1.
3. How can I use the GCD of 649, 100, 698, 771Calculator?
Out the numbers 649, 100, 698, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.