GCD of 534, 402, 474, 748 Calculator

Given Input numbers are 534, 402, 474, 748

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

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (534, 402, 474, 748) = 2.

Given numbers are 534, 402, 474, 748

The list of prime factors of all numbers are

Prime factors of 534 are 2 x 3 x 89

Prime factors of 402 are 2 x 3 x 67

Prime factors of 474 are 2 x 3 x 79

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 534, 402, 474, 748 is 2.

Given numbers are 534, 402, 474, 748

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

Apply this formula for all numbers.

Step1:

LCM(534, 402) = 35778

GCD(534, 402) = ( 534 x 402 ) / 35778

= 534 / 402

= 534

Step2:

LCM(6, 474) = 474

GCD(6, 474) = ( 6 x 474 ) / 474

= 6 / 474

= 6

Step3:

LCM(6, 748) = 2244

GCD(6, 748) = ( 6 x 748 ) / 2244

= 6 / 748

= 6

So, Greatest Common Divisor of 534, 402, 474, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 259, 202, 983
• GCD of 115, 556, 999, 414
• GCD of 532, 367, 555, 524
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• GCD of 949, 320, 969, 961

Given numbers are 534, 402, 474, 748
The greatest common divisor of numbers 534, 402, 474, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 402, 474, 748 is 2.

1. What is the GCD of 534, 402, 474, 748?

GCD of given numbers 534, 402, 474, 748 is 2

2. How to calculate the greatest common divisor of 534, 402, 474, 748?

We can find the highest common divisor of 534, 402, 474, 748 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 534, 402, 474, 748 i.e 2.

3. How can I use the GCD of 534, 402, 474, 748Calculator?

Out the numbers 534, 402, 474, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.