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 820, 19352 i.e. 164 the largest integer that leaves a remainder zero for all numbers.
HCF of 820, 19352 is 164 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 820, 19352 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 820, 19352 is 164.
HCF(820, 19352) = 164
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 820, 19352 is 164.
Step 1: Since 19352 > 820, we apply the division lemma to 19352 and 820, to get
19352 = 820 x 23 + 492
Step 2: Since the reminder 820 ≠ 0, we apply division lemma to 492 and 820, to get
820 = 492 x 1 + 328
Step 3: We consider the new divisor 492 and the new remainder 328, and apply the division lemma to get
492 = 328 x 1 + 164
We consider the new divisor 328 and the new remainder 164, and apply the division lemma to get
328 = 164 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 164, the HCF of 820 and 19352 is 164
Notice that 164 = HCF(328,164) = HCF(492,328) = HCF(820,492) = HCF(19352,820) .
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 820, 19352?
Answer: HCF of 820, 19352 is 164 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 820, 19352 using Euclid's Algorithm?
Answer: For arbitrary numbers 820, 19352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.