Highest Common Factor of 481, 8503, 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 481, 8503, 1620 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 481, 8503, 1620 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 481, 8503, 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 481, 8503, 1620 is 1.
HCF(481, 8503, 1620) = 1
HCF of 481, 8503, 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 481, 8503, 1620 is 1.
Highest Common Factor of 481,8503,1620 is 1
Step 1: Since 8503 > 481, we apply the division lemma to 8503 and 481, to get
8503 = 481 x 17 + 326
Step 2: Since the reminder 481 ≠ 0, we apply division lemma to 326 and 481, to get
481 = 326 x 1 + 155
Step 3: We consider the new divisor 326 and the new remainder 155, and apply the division lemma to get
326 = 155 x 2 + 16
We consider the new divisor 155 and the new remainder 16,and apply the division lemma to get
155 = 16 x 9 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 481 and 8503 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(155,16) = HCF(326,155) = HCF(481,326) = HCF(8503,481) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1620 > 1, we apply the division lemma to 1620 and 1, to get
1620 = 1 x 1620 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1620 is 1
Notice that 1 = HCF(1620,1) .
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Frequently Asked Questions on HCF of 481, 8503, 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 481, 8503, 1620?
Answer: HCF of 481, 8503, 1620 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 481, 8503, 1620 using Euclid's Algorithm?
Answer: For arbitrary numbers 481, 8503, 1620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
