Highest Common Factor of 819, 3055 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 819, 3055 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 819, 3055 is 13 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 819, 3055 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 819, 3055 is 13.
HCF(819, 3055) = 13
HCF of 819, 3055 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 819, 3055 is 13.
Highest Common Factor of 819,3055 is 13
Step 1: Since 3055 > 819, we apply the division lemma to 3055 and 819, to get
3055 = 819 x 3 + 598
Step 2: Since the reminder 819 ≠ 0, we apply division lemma to 598 and 819, to get
819 = 598 x 1 + 221
Step 3: We consider the new divisor 598 and the new remainder 221, and apply the division lemma to get
598 = 221 x 2 + 156
We consider the new divisor 221 and the new remainder 156,and apply the division lemma to get
221 = 156 x 1 + 65
We consider the new divisor 156 and the new remainder 65,and apply the division lemma to get
156 = 65 x 2 + 26
We consider the new divisor 65 and the new remainder 26,and apply the division lemma to get
65 = 26 x 2 + 13
We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get
26 = 13 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 819 and 3055 is 13
Notice that 13 = HCF(26,13) = HCF(65,26) = HCF(156,65) = HCF(221,156) = HCF(598,221) = HCF(819,598) = HCF(3055,819) .
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Frequently Asked Questions on HCF of 819, 3055 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 819, 3055?
Answer: HCF of 819, 3055 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 819, 3055 using Euclid's Algorithm?
Answer: For arbitrary numbers 819, 3055 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.