GCD of 942, 214, 118, 448 Calculator

Given Input numbers are 942, 214, 118, 448

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

Divisors of 942 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (942, 214, 118, 448) = 2.

Given numbers are 942, 214, 118, 448

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 214 are 2 x 107

Prime factors of 118 are 2 x 59

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 942, 214, 118, 448 is 2.

Given numbers are 942, 214, 118, 448

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

Apply this formula for all numbers.

Step1:

LCM(942, 214) = 100794

GCD(942, 214) = ( 942 x 214 ) / 100794

= 942 / 214

= 942

Step2:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 942, 214, 118, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 623, 959, 642
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• GCD of 243, 342, 469, 439
• GCD of 278, 915, 956, 240
• GCD of 968, 417, 820, 376

Given numbers are 942, 214, 118, 448
The greatest common divisor of numbers 942, 214, 118, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 214, 118, 448 is 2.

1. What is the GCD of 942, 214, 118, 448?

GCD of given numbers 942, 214, 118, 448 is 2

2. How to calculate the greatest common divisor of 942, 214, 118, 448?

We can find the highest common divisor of 942, 214, 118, 448 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 942, 214, 118, 448 i.e 2.

3. How can I use the GCD of 942, 214, 118, 448Calculator?

Out the numbers 942, 214, 118, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.