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 822, 496 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 822, 496 is 2 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 822, 496 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 822, 496 is 2.
HCF(822, 496) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 822, 496 is 2.
Step 1: Since 822 > 496, we apply the division lemma to 822 and 496, to get
822 = 496 x 1 + 326
Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 326 and 496, to get
496 = 326 x 1 + 170
Step 3: We consider the new divisor 326 and the new remainder 170, and apply the division lemma to get
326 = 170 x 1 + 156
We consider the new divisor 170 and the new remainder 156,and apply the division lemma to get
170 = 156 x 1 + 14
We consider the new divisor 156 and the new remainder 14,and apply the division lemma to get
156 = 14 x 11 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 822 and 496 is 2
Notice that 2 = HCF(14,2) = HCF(156,14) = HCF(170,156) = HCF(326,170) = HCF(496,326) = HCF(822,496) .
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 822, 496?
Answer: HCF of 822, 496 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 822, 496 using Euclid's Algorithm?
Answer: For arbitrary numbers 822, 496 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.