Highest Common Factor of 579, 165 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 579, 165 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 579, 165 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 579, 165 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 579, 165 is 3.
HCF(579, 165) = 3
HCF of 579, 165 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 579, 165 is 3.
Highest Common Factor of 579,165 is 3
Step 1: Since 579 > 165, we apply the division lemma to 579 and 165, to get
579 = 165 x 3 + 84
Step 2: Since the reminder 165 ≠ 0, we apply division lemma to 84 and 165, to get
165 = 84 x 1 + 81
Step 3: We consider the new divisor 84 and the new remainder 81, and apply the division lemma to get
84 = 81 x 1 + 3
We consider the new divisor 81 and the new remainder 3, and apply the division lemma to get
81 = 3 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 579 and 165 is 3
Notice that 3 = HCF(81,3) = HCF(84,81) = HCF(165,84) = HCF(579,165) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 579, 165 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 579, 165?
Answer: HCF of 579, 165 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 579, 165 using Euclid's Algorithm?
Answer: For arbitrary numbers 579, 165 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.