Online GCD Calculator is useful to find the GCD of 642, 356, 620, 784 quickly. Get the easiest ways to solve the greatest common divisor of 642, 356, 620, 784 i.e 2 in different methods as follows.
Given Input numbers are 642, 356, 620, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (642, 356, 620, 784) = 2.
Given numbers are 642, 356, 620, 784
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 356 are 2 x 2 x 89
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 642, 356, 620, 784 is 2.
Given numbers are 642, 356, 620, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 356) = 114276
GCD(642, 356) = ( 642 x 356 ) / 114276
= 642 / 356
= 642
Step2:
LCM(2, 620) = 620
GCD(2, 620) = ( 2 x 620 ) / 620
= 2 / 620
= 2
Step3:
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
= 2 / 784
= 2
So, Greatest Common Divisor of 642, 356, 620, 784 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 356, 620, 784
The greatest common divisor of numbers 642, 356, 620, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 356, 620, 784 is 2.
1. What is the GCD of 642, 356, 620, 784?
GCD of given numbers 642, 356, 620, 784 is 2
2. How to calculate the greatest common divisor of 642, 356, 620, 784?
We can find the highest common divisor of 642, 356, 620, 784 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 642, 356, 620, 784 i.e 2.
3. How can I use the GCD of 642, 356, 620, 784Calculator?
Out the numbers 642, 356, 620, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.