GCD of 742, 567, 112, 161 Calculator

Given Input numbers are 742, 567, 112, 161

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 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 161 :

The positive integer divisors of 161 that completely divides 161 are.

1, 7, 23, 161

GCD of numbers is the greatest common divisor

So, the GCD (742, 567, 112, 161) = 7.

Given numbers are 742, 567, 112, 161

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 161 are 7 x 23

The highest common occurrence is 7¹

Therefore, GCD of 742, 567, 112, 161 is 7.

Given numbers are 742, 567, 112, 161

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

Apply this formula for all numbers.

Step1:

LCM(742, 567) = 60102

GCD(742, 567) = ( 742 x 567 ) / 60102

= 742 / 567

= 742

Step2:

LCM(7, 112) = 112

GCD(7, 112) = ( 7 x 112 ) / 112

= 7 / 112

= 7

Step3:

LCM(7, 161) = 161

GCD(7, 161) = ( 7 x 161 ) / 161

= 7 / 161

= 7

So, Greatest Common Divisor of 742, 567, 112, 161 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 511, 514, 614
• GCD of 566, 312, 147, 701
• GCD of 771, 206, 280, 233
• GCD of 103, 528, 174, 369
• GCD of 627, 614, 590, 173

Given numbers are 742, 567, 112, 161
The greatest common divisor of numbers 742, 567, 112, 161 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 567, 112, 161 is 7.

1. What is the GCD of 742, 567, 112, 161?

GCD of given numbers 742, 567, 112, 161 is 7

2. How to calculate the greatest common divisor of 742, 567, 112, 161?

We can find the highest common divisor of 742, 567, 112, 161 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, 567, 112, 161 i.e 7.

3. How can I use the GCD of 742, 567, 112, 161Calculator?

Out the numbers 742, 567, 112, 161 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.