Highest Common Factor of 406, 693, 881 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 406, 693, 881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 406, 693, 881 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 406, 693, 881 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 406, 693, 881 is 1.
HCF(406, 693, 881) = 1
HCF of 406, 693, 881 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 406, 693, 881 is 1.
Highest Common Factor of 406,693,881 is 1
Step 1: Since 693 > 406, we apply the division lemma to 693 and 406, to get
693 = 406 x 1 + 287
Step 2: Since the reminder 406 ≠ 0, we apply division lemma to 287 and 406, to get
406 = 287 x 1 + 119
Step 3: We consider the new divisor 287 and the new remainder 119, and apply the division lemma to get
287 = 119 x 2 + 49
We consider the new divisor 119 and the new remainder 49,and apply the division lemma to get
119 = 49 x 2 + 21
We consider the new divisor 49 and the new remainder 21,and apply the division lemma to get
49 = 21 x 2 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 406 and 693 is 7
Notice that 7 = HCF(21,7) = HCF(49,21) = HCF(119,49) = HCF(287,119) = HCF(406,287) = HCF(693,406) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 881 > 7, we apply the division lemma to 881 and 7, to get
881 = 7 x 125 + 6
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 6 and 7, to get
7 = 6 x 1 + 1
Step 3: We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 881 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(881,7) .
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Frequently Asked Questions on HCF of 406, 693, 881 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 406, 693, 881?
Answer: HCF of 406, 693, 881 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 406, 693, 881 using Euclid's Algorithm?
Answer: For arbitrary numbers 406, 693, 881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.