GCD of 974, 722, 608, 988 Calculator

Given Input numbers are 974, 722, 608, 988

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

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (974, 722, 608, 988) = 2.

Given numbers are 974, 722, 608, 988

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 722 are 2 x 19 x 19

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 974, 722, 608, 988 is 2.

Given numbers are 974, 722, 608, 988

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

Apply this formula for all numbers.

Step1:

LCM(974, 722) = 351614

GCD(974, 722) = ( 974 x 722 ) / 351614

= 974 / 722

= 974

Step2:

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

= 2 / 608

= 2

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 974, 722, 608, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 333, 914, 553
• GCD of 487, 316, 512, 492
• GCD of 798, 836, 887, 157
• GCD of 396, 699, 324, 303
• GCD of 456, 739, 645, 389

Given numbers are 974, 722, 608, 988
The greatest common divisor of numbers 974, 722, 608, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 722, 608, 988 is 2.

1. What is the GCD of 974, 722, 608, 988?

GCD of given numbers 974, 722, 608, 988 is 2

2. How to calculate the greatest common divisor of 974, 722, 608, 988?

We can find the highest common divisor of 974, 722, 608, 988 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 974, 722, 608, 988 i.e 2.

3. How can I use the GCD of 974, 722, 608, 988Calculator?

Out the numbers 974, 722, 608, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.