Highest Common Factor of 639, 10588 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 639, 10588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 639, 10588 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 639, 10588 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 639, 10588 is 1.
HCF(639, 10588) = 1
HCF of 639, 10588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 639, 10588 is 1.
Highest Common Factor of 639,10588 is 1
Step 1: Since 10588 > 639, we apply the division lemma to 10588 and 639, to get
10588 = 639 x 16 + 364
Step 2: Since the reminder 639 ≠ 0, we apply division lemma to 364 and 639, to get
639 = 364 x 1 + 275
Step 3: We consider the new divisor 364 and the new remainder 275, and apply the division lemma to get
364 = 275 x 1 + 89
We consider the new divisor 275 and the new remainder 89,and apply the division lemma to get
275 = 89 x 3 + 8
We consider the new divisor 89 and the new remainder 8,and apply the division lemma to get
89 = 8 x 11 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 639 and 10588 is 1
Notice that 1 = HCF(8,1) = HCF(89,8) = HCF(275,89) = HCF(364,275) = HCF(639,364) = HCF(10588,639) .
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Frequently Asked Questions on HCF of 639, 10588 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 639, 10588?
Answer: HCF of 639, 10588 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 639, 10588 using Euclid's Algorithm?
Answer: For arbitrary numbers 639, 10588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.