GCD of 972, 942, 882, 346 Calculator

Given Input numbers are 972, 942, 882, 346

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

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 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

GCD of numbers is the greatest common divisor

So, the GCD (972, 942, 882, 346) = 2.

Given numbers are 972, 942, 882, 346

The list of prime factors of all numbers are

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

Prime factors of 942 are 2 x 3 x 157

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 346 are 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 972, 942, 882, 346 is 2.

Given numbers are 972, 942, 882, 346

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

Apply this formula for all numbers.

Step1:

LCM(972, 942) = 152604

GCD(972, 942) = ( 972 x 942 ) / 152604

= 972 / 942

= 972

Step2:

LCM(6, 882) = 882

GCD(6, 882) = ( 6 x 882 ) / 882

= 6 / 882

= 6

Step3:

LCM(6, 346) = 1038

GCD(6, 346) = ( 6 x 346 ) / 1038

= 6 / 346

= 6

So, Greatest Common Divisor of 972, 942, 882, 346 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 528, 892, 770
• GCD of 108, 292, 965, 526
• GCD of 904, 567, 531, 107
• GCD of 102, 928, 990, 619
• GCD of 181, 951, 476, 714

Given numbers are 972, 942, 882, 346
The greatest common divisor of numbers 972, 942, 882, 346 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 942, 882, 346 is 2.

1. What is the GCD of 972, 942, 882, 346?

GCD of given numbers 972, 942, 882, 346 is 2

2. How to calculate the greatest common divisor of 972, 942, 882, 346?

We can find the highest common divisor of 972, 942, 882, 346 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 972, 942, 882, 346 i.e 2.

3. How can I use the GCD of 972, 942, 882, 346Calculator?

Out the numbers 972, 942, 882, 346 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.