GCD of 154, 280, 878, 702 Calculator

Given Input numbers are 154, 280, 878, 702

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (154, 280, 878, 702) = 2.

Given numbers are 154, 280, 878, 702

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 878 are 2 x 439

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 154, 280, 878, 702 is 2.

Given numbers are 154, 280, 878, 702

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

Apply this formula for all numbers.

Step1:

LCM(154, 280) = 3080

GCD(154, 280) = ( 154 x 280 ) / 3080

= 154 / 280

= 154

Step2:

LCM(14, 878) = 6146

GCD(14, 878) = ( 14 x 878 ) / 6146

= 14 / 878

= 14

Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

So, Greatest Common Divisor of 154, 280, 878, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 138, 593, 536
• GCD of 604, 690, 518, 700
• GCD of 785, 549, 753, 161
• GCD of 792, 816, 955, 833
• GCD of 130, 946, 381, 954

Given numbers are 154, 280, 878, 702
The greatest common divisor of numbers 154, 280, 878, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 280, 878, 702 is 2.

1. What is the GCD of 154, 280, 878, 702?

GCD of given numbers 154, 280, 878, 702 is 2

2. How to calculate the greatest common divisor of 154, 280, 878, 702?

We can find the highest common divisor of 154, 280, 878, 702 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 154, 280, 878, 702 i.e 2.

3. How can I use the GCD of 154, 280, 878, 702Calculator?

Out the numbers 154, 280, 878, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.