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 817, 567 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 817, 567 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 817, 567 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 817, 567 is 1.
HCF(817, 567) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 817, 567 is 1.
Step 1: Since 817 > 567, we apply the division lemma to 817 and 567, to get
817 = 567 x 1 + 250
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 250 and 567, to get
567 = 250 x 2 + 67
Step 3: We consider the new divisor 250 and the new remainder 67, and apply the division lemma to get
250 = 67 x 3 + 49
We consider the new divisor 67 and the new remainder 49,and apply the division lemma to get
67 = 49 x 1 + 18
We consider the new divisor 49 and the new remainder 18,and apply the division lemma to get
49 = 18 x 2 + 13
We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get
18 = 13 x 1 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
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 817 and 567 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(49,18) = HCF(67,49) = HCF(250,67) = HCF(567,250) = HCF(817,567) .
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 817, 567?
Answer: HCF of 817, 567 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 817, 567 using Euclid's Algorithm?
Answer: For arbitrary numbers 817, 567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.