GCD of 374, 690, 429, 112 Calculator

Given Input numbers are 374, 690, 429, 112

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (374, 690, 429, 112) = 1.

Given numbers are 374, 690, 429, 112

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 429 are 3 x 11 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 374, 690, 429, 112

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

Apply this formula for all numbers.

Step1:

LCM(374, 690) = 129030

GCD(374, 690) = ( 374 x 690 ) / 129030

= 374 / 690

= 374

Step2:

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

= 2 / 429

= 2

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 374, 690, 429, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 746, 606, 118
• GCD of 512, 906, 907, 546
• GCD of 857, 161, 458, 686
• GCD of 704, 665, 754, 996
• GCD of 522, 453, 589, 992

Given numbers are 374, 690, 429, 112
The greatest common divisor of numbers 374, 690, 429, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 690, 429, 112 is 1.

1. What is the GCD of 374, 690, 429, 112?

GCD of given numbers 374, 690, 429, 112 is 1

2. How to calculate the greatest common divisor of 374, 690, 429, 112?

We can find the highest common divisor of 374, 690, 429, 112 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 374, 690, 429, 112 i.e 1.

3. How can I use the GCD of 374, 690, 429, 112Calculator?

Out the numbers 374, 690, 429, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.