Highest Common Factor of 936, 573 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 936, 573 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 936, 573 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 936, 573 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 936, 573 is 3.
HCF(936, 573) = 3
HCF of 936, 573 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 936, 573 is 3.
Highest Common Factor of 936,573 is 3
Step 1: Since 936 > 573, we apply the division lemma to 936 and 573, to get
936 = 573 x 1 + 363
Step 2: Since the reminder 573 ≠ 0, we apply division lemma to 363 and 573, to get
573 = 363 x 1 + 210
Step 3: We consider the new divisor 363 and the new remainder 210, and apply the division lemma to get
363 = 210 x 1 + 153
We consider the new divisor 210 and the new remainder 153,and apply the division lemma to get
210 = 153 x 1 + 57
We consider the new divisor 153 and the new remainder 57,and apply the division lemma to get
153 = 57 x 2 + 39
We consider the new divisor 57 and the new remainder 39,and apply the division lemma to get
57 = 39 x 1 + 18
We consider the new divisor 39 and the new remainder 18,and apply the division lemma to get
39 = 18 x 2 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 936 and 573 is 3
Notice that 3 = HCF(18,3) = HCF(39,18) = HCF(57,39) = HCF(153,57) = HCF(210,153) = HCF(363,210) = HCF(573,363) = HCF(936,573) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 936, 573 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 936, 573?
Answer: HCF of 936, 573 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 936, 573 using Euclid's Algorithm?
Answer: For arbitrary numbers 936, 573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.