Highest Common Factor of 869, 631 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 869, 631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 869, 631 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 869, 631 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 869, 631 is 1.
HCF(869, 631) = 1
HCF of 869, 631 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 869, 631 is 1.
Highest Common Factor of 869,631 is 1
Step 1: Since 869 > 631, we apply the division lemma to 869 and 631, to get
869 = 631 x 1 + 238
Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 238 and 631, to get
631 = 238 x 2 + 155
Step 3: We consider the new divisor 238 and the new remainder 155, and apply the division lemma to get
238 = 155 x 1 + 83
We consider the new divisor 155 and the new remainder 83,and apply the division lemma to get
155 = 83 x 1 + 72
We consider the new divisor 83 and the new remainder 72,and apply the division lemma to get
83 = 72 x 1 + 11
We consider the new divisor 72 and the new remainder 11,and apply the division lemma to get
72 = 11 x 6 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 869 and 631 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(72,11) = HCF(83,72) = HCF(155,83) = HCF(238,155) = HCF(631,238) = HCF(869,631) .
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Frequently Asked Questions on HCF of 869, 631 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 869, 631?
Answer: HCF of 869, 631 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 869, 631 using Euclid's Algorithm?
Answer: For arbitrary numbers 869, 631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.