GCD of 952, 584, 616, 420 Calculator

Given Input numbers are 952, 584, 616, 420

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (952, 584, 616, 420) = 4.

Given numbers are 952, 584, 616, 420

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 952, 584, 616, 420 is 4.

Given numbers are 952, 584, 616, 420

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

Apply this formula for all numbers.

Step1:

LCM(952, 584) = 69496

GCD(952, 584) = ( 952 x 584 ) / 69496

= 952 / 584

= 952

Step2:

LCM(8, 616) = 616

GCD(8, 616) = ( 8 x 616 ) / 616

= 8 / 616

= 8

Step3:

LCM(8, 420) = 840

GCD(8, 420) = ( 8 x 420 ) / 840

= 8 / 420

= 8

So, Greatest Common Divisor of 952, 584, 616, 420 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 349, 623, 336
• GCD of 353, 692, 384, 862
• GCD of 781, 901, 726, 617
• GCD of 410, 583, 532, 400
• GCD of 614, 346, 715, 553

Given numbers are 952, 584, 616, 420
The greatest common divisor of numbers 952, 584, 616, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 584, 616, 420 is 4.

1. What is the GCD of 952, 584, 616, 420?

GCD of given numbers 952, 584, 616, 420 is 4

2. How to calculate the greatest common divisor of 952, 584, 616, 420?

We can find the highest common divisor of 952, 584, 616, 420 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 952, 584, 616, 420 i.e 4.

3. How can I use the GCD of 952, 584, 616, 420Calculator?

Out the numbers 952, 584, 616, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.