Highest Common Factor of 982, 88637 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 982, 88637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 982, 88637 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 982, 88637 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 982, 88637 is 1.
HCF(982, 88637) = 1
HCF of 982, 88637 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 982, 88637 is 1.
Highest Common Factor of 982,88637 is 1
Step 1: Since 88637 > 982, we apply the division lemma to 88637 and 982, to get
88637 = 982 x 90 + 257
Step 2: Since the reminder 982 ≠ 0, we apply division lemma to 257 and 982, to get
982 = 257 x 3 + 211
Step 3: We consider the new divisor 257 and the new remainder 211, and apply the division lemma to get
257 = 211 x 1 + 46
We consider the new divisor 211 and the new remainder 46,and apply the division lemma to get
211 = 46 x 4 + 27
We consider the new divisor 46 and the new remainder 27,and apply the division lemma to get
46 = 27 x 1 + 19
We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get
27 = 19 x 1 + 8
We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get
19 = 8 x 2 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 982 and 88637 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(46,27) = HCF(211,46) = HCF(257,211) = HCF(982,257) = HCF(88637,982) .
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Frequently Asked Questions on HCF of 982, 88637 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 982, 88637?
Answer: HCF of 982, 88637 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 982, 88637 using Euclid's Algorithm?
Answer: For arbitrary numbers 982, 88637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.