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 572, 819, 405, 326 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 572, 819, 405, 326 is 1 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 572, 819, 405, 326 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 572, 819, 405, 326 is 1.
HCF(572, 819, 405, 326) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 572, 819, 405, 326 is 1.
Step 1: Since 819 > 572, we apply the division lemma to 819 and 572, to get
819 = 572 x 1 + 247
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 247 and 572, to get
572 = 247 x 2 + 78
Step 3: We consider the new divisor 247 and the new remainder 78, and apply the division lemma to get
247 = 78 x 3 + 13
We consider the new divisor 78 and the new remainder 13, and apply the division lemma to get
78 = 13 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 572 and 819 is 13
Notice that 13 = HCF(78,13) = HCF(247,78) = HCF(572,247) = HCF(819,572) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 405 > 13, we apply the division lemma to 405 and 13, to get
405 = 13 x 31 + 2
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 2 and 13, to get
13 = 2 x 6 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 405 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(405,13) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 326 > 1, we apply the division lemma to 326 and 1, to get
326 = 1 x 326 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 326 is 1
Notice that 1 = HCF(326,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 572, 819, 405, 326?
Answer: HCF of 572, 819, 405, 326 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 572, 819, 405, 326 using Euclid's Algorithm?
Answer: For arbitrary numbers 572, 819, 405, 326 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.