Highest Common Factor of 820, 1620 using Euclid's algorithm
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, 1620 i.e. 20 the largest integer that leaves a remainder zero for all numbers.
HCF of 820, 1620 is 20 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, 1620 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, 1620 is 20.
HCF(820, 1620) = 20
HCF of 820, 1620 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 820, 1620 is 20.
Highest Common Factor of 820,1620 is 20
Step 1: Since 1620 > 820, we apply the division lemma to 1620 and 820, to get
1620 = 820 x 1 + 800
Step 2: Since the reminder 820 ≠ 0, we apply division lemma to 800 and 820, to get
820 = 800 x 1 + 20
Step 3: We consider the new divisor 800 and the new remainder 20, and apply the division lemma to get
800 = 20 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 820 and 1620 is 20
Notice that 20 = HCF(800,20) = HCF(820,800) = HCF(1620,820) .
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Frequently Asked Questions on HCF of 820, 1620 using Euclid's Algorithm
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, 1620?
Answer: HCF of 820, 1620 is 20 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 820, 1620 using Euclid's Algorithm?
Answer: For arbitrary numbers 820, 1620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.