GCD of 378, 202, 674 Calculator

Given Input numbers are 378, 202, 674

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (378, 202, 674) = 2.

Given numbers are 378, 202, 674

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 202 are 2 x 101

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 378, 202, 674 is 2.

Given numbers are 378, 202, 674

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

Apply this formula for all numbers.

Step1:

LCM(378, 202) = 38178

GCD(378, 202) = ( 378 x 202 ) / 38178

= 378 / 202

= 378

Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 378, 202, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 509, 987
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• GCD of 358, 200, 453
• GCD of 578, 644, 922
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Given numbers are 378, 202, 674
The greatest common divisor of numbers 378, 202, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 202, 674 is 2.

1. What is the GCD of 378, 202, 674?

GCD of given numbers 378, 202, 674 is 2

2. How to calculate the greatest common divisor of 378, 202, 674?

We can find the highest common divisor of 378, 202, 674 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 378, 202, 674 i.e 2.

3. How can I use the GCD of 378, 202, 674Calculator?

Out the numbers 378, 202, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.