GCD of 514, 362, 980, 134 Calculator

Given Input numbers are 514, 362, 980, 134

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

GCD of numbers is the greatest common divisor

So, the GCD (514, 362, 980, 134) = 2.

Given numbers are 514, 362, 980, 134

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 362 are 2 x 181

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 134 are 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 514, 362, 980, 134 is 2.

Given numbers are 514, 362, 980, 134

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

Apply this formula for all numbers.

Step1:

LCM(514, 362) = 93034

GCD(514, 362) = ( 514 x 362 ) / 93034

= 514 / 362

= 514

Step2:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

Step3:

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

= 2 / 134

= 2

So, Greatest Common Divisor of 514, 362, 980, 134 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 740, 506, 784
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• GCD of 601, 885, 375, 176
• GCD of 844, 366, 867, 242
• GCD of 466, 381, 161, 878

Given numbers are 514, 362, 980, 134
The greatest common divisor of numbers 514, 362, 980, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 362, 980, 134 is 2.

1. What is the GCD of 514, 362, 980, 134?

GCD of given numbers 514, 362, 980, 134 is 2

2. How to calculate the greatest common divisor of 514, 362, 980, 134?

We can find the highest common divisor of 514, 362, 980, 134 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 514, 362, 980, 134 i.e 2.

3. How can I use the GCD of 514, 362, 980, 134Calculator?

Out the numbers 514, 362, 980, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.