Highest Common Factor of 1163, 2638 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 1163, 2638 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1163, 2638 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 1163, 2638 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 1163, 2638 is 1.
HCF(1163, 2638) = 1
HCF of 1163, 2638 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1163, 2638 is 1.
Highest Common Factor of 1163,2638 is 1
Step 1: Since 2638 > 1163, we apply the division lemma to 2638 and 1163, to get
2638 = 1163 x 2 + 312
Step 2: Since the reminder 1163 ≠ 0, we apply division lemma to 312 and 1163, to get
1163 = 312 x 3 + 227
Step 3: We consider the new divisor 312 and the new remainder 227, and apply the division lemma to get
312 = 227 x 1 + 85
We consider the new divisor 227 and the new remainder 85,and apply the division lemma to get
227 = 85 x 2 + 57
We consider the new divisor 85 and the new remainder 57,and apply the division lemma to get
85 = 57 x 1 + 28
We consider the new divisor 57 and the new remainder 28,and apply the division lemma to get
57 = 28 x 2 + 1
We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1163 and 2638 is 1
Notice that 1 = HCF(28,1) = HCF(57,28) = HCF(85,57) = HCF(227,85) = HCF(312,227) = HCF(1163,312) = HCF(2638,1163) .
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Frequently Asked Questions on HCF of 1163, 2638 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 1163, 2638?
Answer: HCF of 1163, 2638 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1163, 2638 using Euclid's Algorithm?
Answer: For arbitrary numbers 1163, 2638 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.