GCD of 742, 959, 532, 574 Calculator

Given Input numbers are 742, 959, 532, 574

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 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (742, 959, 532, 574) = 7.

Given numbers are 742, 959, 532, 574

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 959 are 7 x 137

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 7¹

Therefore, GCD of 742, 959, 532, 574 is 7.

Given numbers are 742, 959, 532, 574

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

Apply this formula for all numbers.

Step1:

LCM(742, 959) = 101654

GCD(742, 959) = ( 742 x 959 ) / 101654

= 742 / 959

= 742

Step2:

LCM(7, 532) = 532

GCD(7, 532) = ( 7 x 532 ) / 532

= 7 / 532

= 7

Step3:

LCM(7, 574) = 574

GCD(7, 574) = ( 7 x 574 ) / 574

= 7 / 574

= 7

So, Greatest Common Divisor of 742, 959, 532, 574 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 986, 226, 636
• GCD of 702, 801, 388, 137
• GCD of 272, 595, 370, 705
• GCD of 448, 477, 413, 729
• GCD of 965, 254, 518, 488

Given numbers are 742, 959, 532, 574
The greatest common divisor of numbers 742, 959, 532, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 959, 532, 574 is 7.

1. What is the GCD of 742, 959, 532, 574?

GCD of given numbers 742, 959, 532, 574 is 7

2. How to calculate the greatest common divisor of 742, 959, 532, 574?

We can find the highest common divisor of 742, 959, 532, 574 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, 959, 532, 574 i.e 7.

3. How can I use the GCD of 742, 959, 532, 574Calculator?

Out the numbers 742, 959, 532, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.