GCD of 764, 160, 974, 740 Calculator

Given Input numbers are 764, 160, 974, 740

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (764, 160, 974, 740) = 2.

Given numbers are 764, 160, 974, 740

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 974 are 2 x 487

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 764, 160, 974, 740 is 2.

Given numbers are 764, 160, 974, 740

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

Apply this formula for all numbers.

Step1:

LCM(764, 160) = 30560

GCD(764, 160) = ( 764 x 160 ) / 30560

= 764 / 160

= 764

Step2:

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

= 4 / 974

= 4

Step3:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 764, 160, 974, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 752, 515, 893
• GCD of 222, 333, 923, 388
• GCD of 308, 561, 487, 137
• GCD of 180, 309, 777, 487
• GCD of 979, 773, 352, 101

Given numbers are 764, 160, 974, 740
The greatest common divisor of numbers 764, 160, 974, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 160, 974, 740 is 2.

1. What is the GCD of 764, 160, 974, 740?

GCD of given numbers 764, 160, 974, 740 is 2

2. How to calculate the greatest common divisor of 764, 160, 974, 740?

We can find the highest common divisor of 764, 160, 974, 740 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 764, 160, 974, 740 i.e 2.

3. How can I use the GCD of 764, 160, 974, 740Calculator?

Out the numbers 764, 160, 974, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.