GCD of 70, 84, 42, 64 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 70, 84, 42, 64 quickly. Get the easiest ways to solve the greatest common divisor of 70, 84, 42, 64 i.e 2 in different methods as follows.
Given Input numbers are 70, 84, 42, 64
In the factoring method, we have to find the divisors of all numbers
Divisors of 70 :
The positive integer divisors of 70 that completely divides 70 are.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
GCD of numbers is the greatest common divisor
So, the GCD (70, 84, 42, 64) = 2.
Given numbers are 70, 84, 42, 64
The list of prime factors of all numbers are
Prime factors of 70 are 2 x 5 x 7
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 42 are 2 x 3 x 7
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 21
Therefore, GCD of 70, 84, 42, 64 is 2.
Steps to Calculate GCD of 70, 84, 42, 64 using LCM Formula
Given numbers are 70, 84, 42, 64
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(70, 84) = 420
GCD(70, 84) = ( 70 x 84 ) / 420
= 70 / 84
= 70
Step2:
LCM(14, 42) = 42
GCD(14, 42) = ( 14 x 42 ) / 42
= 14 / 42
= 14
Step3:
LCM(14, 64) = 448
GCD(14, 64) = ( 14 x 64 ) / 448
= 14 / 64
= 14
So, Greatest Common Divisor of 70, 84, 42, 64 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 70, 84, 42, 64
Given numbers are 70, 84, 42, 64
The greatest common divisor of numbers 70, 84, 42, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 70, 84, 42, 64 is 2.
FAQs on GCD of 70, 84, 42, 64 Calculator
1. What is the GCD of 70, 84, 42, 64?
GCD of given numbers 70, 84, 42, 64 is 2
2. How to calculate the greatest common divisor of 70, 84, 42, 64?
We can find the highest common divisor of 70, 84, 42, 64 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 70, 84, 42, 64 i.e 2.
3. How can I use the GCD of 70, 84, 42, 64Calculator?
Out the numbers 70, 84, 42, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.