Highest Common Factor of 696, 406, 886 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 696, 406, 886 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 696, 406, 886 is 2 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 696, 406, 886 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 696, 406, 886 is 2.
HCF(696, 406, 886) = 2
HCF of 696, 406, 886 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 696, 406, 886 is 2.
Highest Common Factor of 696,406,886 is 2
Step 1: Since 696 > 406, we apply the division lemma to 696 and 406, to get
696 = 406 x 1 + 290
Step 2: Since the reminder 406 ≠ 0, we apply division lemma to 290 and 406, to get
406 = 290 x 1 + 116
Step 3: We consider the new divisor 290 and the new remainder 116, and apply the division lemma to get
290 = 116 x 2 + 58
We consider the new divisor 116 and the new remainder 58, and apply the division lemma to get
116 = 58 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 58, the HCF of 696 and 406 is 58
Notice that 58 = HCF(116,58) = HCF(290,116) = HCF(406,290) = HCF(696,406) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 886 > 58, we apply the division lemma to 886 and 58, to get
886 = 58 x 15 + 16
Step 2: Since the reminder 58 ≠ 0, we apply division lemma to 16 and 58, to get
58 = 16 x 3 + 10
Step 3: We consider the new divisor 16 and the new remainder 10, and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 58 and 886 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(58,16) = HCF(886,58) .
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Frequently Asked Questions on HCF of 696, 406, 886 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 696, 406, 886?
Answer: HCF of 696, 406, 886 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 696, 406, 886 using Euclid's Algorithm?
Answer: For arbitrary numbers 696, 406, 886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
