GCD of 894, 970, 968, 742 Calculator

Given Input numbers are 894, 970, 968, 742

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (894, 970, 968, 742) = 2.

Given numbers are 894, 970, 968, 742

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 970 are 2 x 5 x 97

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 894, 970, 968, 742 is 2.

Given numbers are 894, 970, 968, 742

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

Apply this formula for all numbers.

Step1:

LCM(894, 970) = 433590

GCD(894, 970) = ( 894 x 970 ) / 433590

= 894 / 970

= 894

Step2:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 894, 970, 968, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 228, 164, 863
• GCD of 523, 455, 844, 113
• GCD of 392, 129, 401, 223
• GCD of 731, 692, 980, 493
• GCD of 106, 415, 199, 192

Given numbers are 894, 970, 968, 742
The greatest common divisor of numbers 894, 970, 968, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 970, 968, 742 is 2.

1. What is the GCD of 894, 970, 968, 742?

GCD of given numbers 894, 970, 968, 742 is 2

2. How to calculate the greatest common divisor of 894, 970, 968, 742?

We can find the highest common divisor of 894, 970, 968, 742 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 894, 970, 968, 742 i.e 2.

3. How can I use the GCD of 894, 970, 968, 742Calculator?

Out the numbers 894, 970, 968, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.