GCD of 742, 470, 430, 952 Calculator

Given Input numbers are 742, 470, 430, 952

In the factoring method, we have to find the divisors of all numbers

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (742, 470, 430, 952) = 2.

Given numbers are 742, 470, 430, 952

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 470 are 2 x 5 x 47

Prime factors of 430 are 2 x 5 x 43

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 742, 470, 430, 952 is 2.

Given numbers are 742, 470, 430, 952

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(742, 470) = 174370

GCD(742, 470) = ( 742 x 470 ) / 174370

= 742 / 470

= 742

Step2:

LCM(2, 430) = 430

GCD(2, 430) = ( 2 x 430 ) / 430

= 2 / 430

= 2

Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

So, Greatest Common Divisor of 742, 470, 430, 952 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 938, 419, 518
• GCD of 982, 722, 664, 290
• GCD of 239, 675, 502, 293
• GCD of 231, 432, 568, 214
• GCD of 310, 366, 249, 656

Given numbers are 742, 470, 430, 952
The greatest common divisor of numbers 742, 470, 430, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 470, 430, 952 is 2.

1. What is the GCD of 742, 470, 430, 952?

GCD of given numbers 742, 470, 430, 952 is 2

2. How to calculate the greatest common divisor of 742, 470, 430, 952?

We can find the highest common divisor of 742, 470, 430, 952 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 742, 470, 430, 952 i.e 2.

3. How can I use the GCD of 742, 470, 430, 952Calculator?

Out the numbers 742, 470, 430, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.