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 562, 81217 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 562, 81217 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 562, 81217 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 562, 81217 is 1.
HCF(562, 81217) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 562, 81217 is 1.
Step 1: Since 81217 > 562, we apply the division lemma to 81217 and 562, to get
81217 = 562 x 144 + 289
Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 289 and 562, to get
562 = 289 x 1 + 273
Step 3: We consider the new divisor 289 and the new remainder 273, and apply the division lemma to get
289 = 273 x 1 + 16
We consider the new divisor 273 and the new remainder 16,and apply the division lemma to get
273 = 16 x 17 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 562 and 81217 is 1
Notice that 1 = HCF(16,1) = HCF(273,16) = HCF(289,273) = HCF(562,289) = HCF(81217,562) .
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 562, 81217?
Answer: HCF of 562, 81217 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 562, 81217 using Euclid's Algorithm?
Answer: For arbitrary numbers 562, 81217 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.