GCD of 702, 350, 996, 454 Calculator

Given Input numbers are 702, 350, 996, 454

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

GCD of numbers is the greatest common divisor

So, the GCD (702, 350, 996, 454) = 2.

Given numbers are 702, 350, 996, 454

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 454 are 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 702, 350, 996, 454 is 2.

Given numbers are 702, 350, 996, 454

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

Apply this formula for all numbers.

Step1:

LCM(702, 350) = 122850

GCD(702, 350) = ( 702 x 350 ) / 122850

= 702 / 350

= 702

Step2:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

Step3:

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

= 2 / 454

= 2

So, Greatest Common Divisor of 702, 350, 996, 454 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 956, 148, 306
• GCD of 389, 739, 424, 195
• GCD of 783, 842, 373, 315
• GCD of 291, 397, 565, 751
• GCD of 557, 913, 915, 465

Given numbers are 702, 350, 996, 454
The greatest common divisor of numbers 702, 350, 996, 454 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 350, 996, 454 is 2.

1. What is the GCD of 702, 350, 996, 454?

GCD of given numbers 702, 350, 996, 454 is 2

2. How to calculate the greatest common divisor of 702, 350, 996, 454?

We can find the highest common divisor of 702, 350, 996, 454 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 702, 350, 996, 454 i.e 2.

3. How can I use the GCD of 702, 350, 996, 454Calculator?

Out the numbers 702, 350, 996, 454 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.