GCD of 742, 922, 478, 464 Calculator

Given Input numbers are 742, 922, 478, 464

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 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (742, 922, 478, 464) = 2.

Given numbers are 742, 922, 478, 464

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 922 are 2 x 461

Prime factors of 478 are 2 x 239

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 742, 922, 478, 464 is 2.

Given numbers are 742, 922, 478, 464

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

Apply this formula for all numbers.

Step1:

LCM(742, 922) = 342062

GCD(742, 922) = ( 742 x 922 ) / 342062

= 742 / 922

= 742

Step2:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 742, 922, 478, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 367, 438, 220
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• GCD of 523, 839, 590, 564
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• GCD of 872, 403, 158, 734

Given numbers are 742, 922, 478, 464
The greatest common divisor of numbers 742, 922, 478, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 922, 478, 464 is 2.

1. What is the GCD of 742, 922, 478, 464?

GCD of given numbers 742, 922, 478, 464 is 2

2. How to calculate the greatest common divisor of 742, 922, 478, 464?

We can find the highest common divisor of 742, 922, 478, 464 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, 922, 478, 464 i.e 2.

3. How can I use the GCD of 742, 922, 478, 464Calculator?

Out the numbers 742, 922, 478, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.