Highest Common Factor of 962, 22682 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 962, 22682 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 962, 22682 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 962, 22682 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 962, 22682 is 2.
HCF(962, 22682) = 2
HCF of 962, 22682 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 962, 22682 is 2.
Highest Common Factor of 962,22682 is 2
Step 1: Since 22682 > 962, we apply the division lemma to 22682 and 962, to get
22682 = 962 x 23 + 556
Step 2: Since the reminder 962 ≠ 0, we apply division lemma to 556 and 962, to get
962 = 556 x 1 + 406
Step 3: We consider the new divisor 556 and the new remainder 406, and apply the division lemma to get
556 = 406 x 1 + 150
We consider the new divisor 406 and the new remainder 150,and apply the division lemma to get
406 = 150 x 2 + 106
We consider the new divisor 150 and the new remainder 106,and apply the division lemma to get
150 = 106 x 1 + 44
We consider the new divisor 106 and the new remainder 44,and apply the division lemma to get
106 = 44 x 2 + 18
We consider the new divisor 44 and the new remainder 18,and apply the division lemma to get
44 = 18 x 2 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 962 and 22682 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(44,18) = HCF(106,44) = HCF(150,106) = HCF(406,150) = HCF(556,406) = HCF(962,556) = HCF(22682,962) .
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Frequently Asked Questions on HCF of 962, 22682 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 962, 22682?
Answer: HCF of 962, 22682 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 962, 22682 using Euclid's Algorithm?
Answer: For arbitrary numbers 962, 22682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.