Online GCD Calculator is useful to find the GCD of 642, 974, 722, 134 quickly. Get the easiest ways to solve the greatest common divisor of 642, 974, 722, 134 i.e 2 in different methods as follows.
Given Input numbers are 642, 974, 722, 134
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 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
GCD of numbers is the greatest common divisor
So, the GCD (642, 974, 722, 134) = 2.
Given numbers are 642, 974, 722, 134
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 974 are 2 x 487
Prime factors of 722 are 2 x 19 x 19
Prime factors of 134 are 2 x 67
The highest common occurrence is 21
Therefore, GCD of 642, 974, 722, 134 is 2.
Given numbers are 642, 974, 722, 134
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 974) = 312654
GCD(642, 974) = ( 642 x 974 ) / 312654
= 642 / 974
= 642
Step2:
LCM(2, 722) = 722
GCD(2, 722) = ( 2 x 722 ) / 722
= 2 / 722
= 2
Step3:
LCM(2, 134) = 134
GCD(2, 134) = ( 2 x 134 ) / 134
= 2 / 134
= 2
So, Greatest Common Divisor of 642, 974, 722, 134 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 974, 722, 134
The greatest common divisor of numbers 642, 974, 722, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 974, 722, 134 is 2.
1. What is the GCD of 642, 974, 722, 134?
GCD of given numbers 642, 974, 722, 134 is 2
2. How to calculate the greatest common divisor of 642, 974, 722, 134?
We can find the highest common divisor of 642, 974, 722, 134 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, 974, 722, 134 i.e 2.
3. How can I use the GCD of 642, 974, 722, 134Calculator?
Out the numbers 642, 974, 722, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.