Highest Common Factor of 886, 697, 381 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 886, 697, 381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 886, 697, 381 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 886, 697, 381 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 886, 697, 381 is 1.
HCF(886, 697, 381) = 1
HCF of 886, 697, 381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 886, 697, 381 is 1.
Highest Common Factor of 886,697,381 is 1
Step 1: Since 886 > 697, we apply the division lemma to 886 and 697, to get
886 = 697 x 1 + 189
Step 2: Since the reminder 697 ≠ 0, we apply division lemma to 189 and 697, to get
697 = 189 x 3 + 130
Step 3: We consider the new divisor 189 and the new remainder 130, and apply the division lemma to get
189 = 130 x 1 + 59
We consider the new divisor 130 and the new remainder 59,and apply the division lemma to get
130 = 59 x 2 + 12
We consider the new divisor 59 and the new remainder 12,and apply the division lemma to get
59 = 12 x 4 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 886 and 697 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(59,12) = HCF(130,59) = HCF(189,130) = HCF(697,189) = HCF(886,697) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 381 > 1, we apply the division lemma to 381 and 1, to get
381 = 1 x 381 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 381 is 1
Notice that 1 = HCF(381,1) .
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Frequently Asked Questions on HCF of 886, 697, 381 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 886, 697, 381?
Answer: HCF of 886, 697, 381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 886, 697, 381 using Euclid's Algorithm?
Answer: For arbitrary numbers 886, 697, 381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.