Online GCD Calculator is useful to find the GCD of 426, 639, 153, 975 quickly. Get the easiest ways to solve the greatest common divisor of 426, 639, 153, 975 i.e 3 in different methods as follows.
Given Input numbers are 426, 639, 153, 975
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 639 :
The positive integer divisors of 639 that completely divides 639 are.
1, 3, 9, 71, 213, 639
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
GCD of numbers is the greatest common divisor
So, the GCD (426, 639, 153, 975) = 3.
Given numbers are 426, 639, 153, 975
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 639 are 3 x 3 x 71
Prime factors of 153 are 3 x 3 x 17
Prime factors of 975 are 3 x 5 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 426, 639, 153, 975 is 3.
Given numbers are 426, 639, 153, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 639) = 1278
GCD(426, 639) = ( 426 x 639 ) / 1278
= 426 / 639
= 426
Step2:
LCM(213, 153) = 10863
GCD(213, 153) = ( 213 x 153 ) / 10863
= 213 / 153
= 213
Step3:
LCM(3, 975) = 975
GCD(3, 975) = ( 3 x 975 ) / 975
= 3 / 975
= 3
So, Greatest Common Divisor of 426, 639, 153, 975 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 639, 153, 975
The greatest common divisor of numbers 426, 639, 153, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 639, 153, 975 is 3.
1. What is the GCD of 426, 639, 153, 975?
GCD of given numbers 426, 639, 153, 975 is 3
2. How to calculate the greatest common divisor of 426, 639, 153, 975?
We can find the highest common divisor of 426, 639, 153, 975 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 426, 639, 153, 975 i.e 3.
3. How can I use the GCD of 426, 639, 153, 975Calculator?
Out the numbers 426, 639, 153, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.