GCD of 462, 951, 972, 702 Calculator

Given Input numbers are 462, 951, 972, 702

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 951 :

The positive integer divisors of 951 that completely divides 951 are.

1, 3, 317, 951

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 951, 972, 702) = 3.

Given numbers are 462, 951, 972, 702

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 951 are 3 x 317

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 462, 951, 972, 702 is 3.

Given numbers are 462, 951, 972, 702

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

Apply this formula for all numbers.

Step1:

LCM(462, 951) = 146454

GCD(462, 951) = ( 462 x 951 ) / 146454

= 462 / 951

= 462

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

So, Greatest Common Divisor of 462, 951, 972, 702 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 703, 283, 568
• GCD of 718, 994, 839, 233
• GCD of 140, 141, 542, 607
• GCD of 943, 993, 687, 657
• GCD of 292, 817, 624, 427

Given numbers are 462, 951, 972, 702
The greatest common divisor of numbers 462, 951, 972, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 951, 972, 702 is 3.

1. What is the GCD of 462, 951, 972, 702?

GCD of given numbers 462, 951, 972, 702 is 3

2. How to calculate the greatest common divisor of 462, 951, 972, 702?

We can find the highest common divisor of 462, 951, 972, 702 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 462, 951, 972, 702 i.e 3.

3. How can I use the GCD of 462, 951, 972, 702Calculator?

Out the numbers 462, 951, 972, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.