GCD of 474, 690, 986, 692 Calculator

Given Input numbers are 474, 690, 986, 692

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (474, 690, 986, 692) = 2.

Given numbers are 474, 690, 986, 692

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

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

Prime factors of 986 are 2 x 17 x 29

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 474, 690, 986, 692 is 2.

Given numbers are 474, 690, 986, 692

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

Apply this formula for all numbers.

Step1:

LCM(474, 690) = 54510

GCD(474, 690) = ( 474 x 690 ) / 54510

= 474 / 690

= 474

Step2:

LCM(6, 986) = 2958

GCD(6, 986) = ( 6 x 986 ) / 2958

= 6 / 986

= 6

Step3:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2

So, Greatest Common Divisor of 474, 690, 986, 692 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 284, 752, 323
• GCD of 748, 414, 398, 764
• GCD of 972, 346, 826, 985
• GCD of 153, 472, 472, 863
• GCD of 969, 568, 379, 848

Given numbers are 474, 690, 986, 692
The greatest common divisor of numbers 474, 690, 986, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 690, 986, 692 is 2.

1. What is the GCD of 474, 690, 986, 692?

GCD of given numbers 474, 690, 986, 692 is 2

2. How to calculate the greatest common divisor of 474, 690, 986, 692?

We can find the highest common divisor of 474, 690, 986, 692 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 474, 690, 986, 692 i.e 2.

3. How can I use the GCD of 474, 690, 986, 692Calculator?

Out the numbers 474, 690, 986, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.