GCD of 147, 960, 684, 942 Calculator

Given Input numbers are 147, 960, 684, 942

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 942 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (147, 960, 684, 942) = 3.

Given numbers are 147, 960, 684, 942

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 147, 960, 684, 942 is 3.

Given numbers are 147, 960, 684, 942

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

Apply this formula for all numbers.

Step1:

LCM(147, 960) = 47040

GCD(147, 960) = ( 147 x 960 ) / 47040

= 147 / 960

= 147

Step2:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3

Step3:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

So, Greatest Common Divisor of 147, 960, 684, 942 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 951, 982, 294
• GCD of 655, 642, 703, 184
• GCD of 524, 967, 103, 595
• GCD of 982, 541, 614, 983
• GCD of 597, 504, 523, 219

Given numbers are 147, 960, 684, 942
The greatest common divisor of numbers 147, 960, 684, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 960, 684, 942 is 3.

1. What is the GCD of 147, 960, 684, 942?

GCD of given numbers 147, 960, 684, 942 is 3

2. How to calculate the greatest common divisor of 147, 960, 684, 942?

We can find the highest common divisor of 147, 960, 684, 942 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 147, 960, 684, 942 i.e 3.

3. How can I use the GCD of 147, 960, 684, 942Calculator?

Out the numbers 147, 960, 684, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.