Online GCD Calculator is useful to find the GCD of 598, 770, 546, 426 quickly. Get the easiest ways to solve the greatest common divisor of 598, 770, 546, 426 i.e 2 in different methods as follows.
Given Input numbers are 598, 770, 546, 426
In the factoring method, we have to find the divisors of all numbers
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (598, 770, 546, 426) = 2.
Given numbers are 598, 770, 546, 426
The list of prime factors of all numbers are
Prime factors of 598 are 2 x 13 x 23
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 598, 770, 546, 426 is 2.
Given numbers are 598, 770, 546, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(598, 770) = 230230
GCD(598, 770) = ( 598 x 770 ) / 230230
= 598 / 770
= 598
Step2:
LCM(2, 546) = 546
GCD(2, 546) = ( 2 x 546 ) / 546
= 2 / 546
= 2
Step3:
LCM(2, 426) = 426
GCD(2, 426) = ( 2 x 426 ) / 426
= 2 / 426
= 2
So, Greatest Common Divisor of 598, 770, 546, 426 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 598, 770, 546, 426
The greatest common divisor of numbers 598, 770, 546, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 770, 546, 426 is 2.
1. What is the GCD of 598, 770, 546, 426?
GCD of given numbers 598, 770, 546, 426 is 2
2. How to calculate the greatest common divisor of 598, 770, 546, 426?
We can find the highest common divisor of 598, 770, 546, 426 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 598, 770, 546, 426 i.e 2.
3. How can I use the GCD of 598, 770, 546, 426Calculator?
Out the numbers 598, 770, 546, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.