GCD of 402, 374, 70, 112 Calculator

Given Input numbers are 402, 374, 70, 112

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

Divisors of 402 :

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

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

Divisors of 374 :

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

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

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

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 (402, 374, 70, 112) = 2.

Given numbers are 402, 374, 70, 112

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 374 are 2 x 11 x 17

Prime factors of 70 are 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 402, 374, 70, 112 is 2.

Given numbers are 402, 374, 70, 112

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

Apply this formula for all numbers.

Step1:

LCM(402, 374) = 75174

GCD(402, 374) = ( 402 x 374 ) / 75174

= 402 / 374

= 402

Step2:

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

= 2 / 70

= 2

Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 402, 374, 70, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 993, 46, 727
• GCD of 755, 957, 24, 404
• GCD of 701, 496, 89, 438
• GCD of 934, 852, 91, 657
• GCD of 566, 377, 88, 289

Given numbers are 402, 374, 70, 112
The greatest common divisor of numbers 402, 374, 70, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 374, 70, 112 is 2.

1. What is the GCD of 402, 374, 70, 112?

GCD of given numbers 402, 374, 70, 112 is 2

2. How to calculate the greatest common divisor of 402, 374, 70, 112?

We can find the highest common divisor of 402, 374, 70, 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 402, 374, 70, 112 i.e 2.

3. How can I use the GCD of 402, 374, 70, 112Calculator?

Out the numbers 402, 374, 70, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.