Highest Common Factor of 3653, 806 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 3653, 806 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 3653, 806 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 3653, 806 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 3653, 806 is 13.
HCF(3653, 806) = 13
HCF of 3653, 806 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3653, 806 is 13.
Highest Common Factor of 3653,806 is 13
Step 1: Since 3653 > 806, we apply the division lemma to 3653 and 806, to get
3653 = 806 x 4 + 429
Step 2: Since the reminder 806 ≠ 0, we apply division lemma to 429 and 806, to get
806 = 429 x 1 + 377
Step 3: We consider the new divisor 429 and the new remainder 377, and apply the division lemma to get
429 = 377 x 1 + 52
We consider the new divisor 377 and the new remainder 52,and apply the division lemma to get
377 = 52 x 7 + 13
We consider the new divisor 52 and the new remainder 13,and apply the division lemma to get
52 = 13 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 3653 and 806 is 13
Notice that 13 = HCF(52,13) = HCF(377,52) = HCF(429,377) = HCF(806,429) = HCF(3653,806) .
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Frequently Asked Questions on HCF of 3653, 806 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 3653, 806?
Answer: HCF of 3653, 806 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3653, 806 using Euclid's Algorithm?
Answer: For arbitrary numbers 3653, 806 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.