GCD of 553, 238, 742, 105 Calculator

Given Input numbers are 553, 238, 742, 105

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

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 742 :

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

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (553, 238, 742, 105) = 7.

Given numbers are 553, 238, 742, 105

The list of prime factors of all numbers are

Prime factors of 553 are 7 x 79

Prime factors of 238 are 2 x 7 x 17

Prime factors of 742 are 2 x 7 x 53

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 553, 238, 742, 105 is 7.

Given numbers are 553, 238, 742, 105

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

Apply this formula for all numbers.

Step1:

LCM(553, 238) = 18802

GCD(553, 238) = ( 553 x 238 ) / 18802

= 553 / 238

= 553

Step2:

LCM(7, 742) = 742

GCD(7, 742) = ( 7 x 742 ) / 742

= 7 / 742

= 7

Step3:

LCM(7, 105) = 105

GCD(7, 105) = ( 7 x 105 ) / 105

= 7 / 105

= 7

So, Greatest Common Divisor of 553, 238, 742, 105 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 996, 163, 757
• GCD of 193, 178, 143, 603
• GCD of 611, 945, 948, 702
• GCD of 767, 435, 295, 350
• GCD of 619, 170, 127, 325

Given numbers are 553, 238, 742, 105
The greatest common divisor of numbers 553, 238, 742, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 553, 238, 742, 105 is 7.

1. What is the GCD of 553, 238, 742, 105?

GCD of given numbers 553, 238, 742, 105 is 7

2. How to calculate the greatest common divisor of 553, 238, 742, 105?

We can find the highest common divisor of 553, 238, 742, 105 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 553, 238, 742, 105 i.e 7.

3. How can I use the GCD of 553, 238, 742, 105Calculator?

Out the numbers 553, 238, 742, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.