Highest Common Factor of 1163, 5524 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, 5524 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1163, 5524 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, 5524 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, 5524 is 1.
HCF(1163, 5524) = 1
HCF of 1163, 5524 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, 5524 is 1.
Highest Common Factor of 1163,5524 is 1
Step 1: Since 5524 > 1163, we apply the division lemma to 5524 and 1163, to get
5524 = 1163 x 4 + 872
Step 2: Since the reminder 1163 ≠ 0, we apply division lemma to 872 and 1163, to get
1163 = 872 x 1 + 291
Step 3: We consider the new divisor 872 and the new remainder 291, and apply the division lemma to get
872 = 291 x 2 + 290
We consider the new divisor 291 and the new remainder 290,and apply the division lemma to get
291 = 290 x 1 + 1
We consider the new divisor 290 and the new remainder 1,and apply the division lemma to get
290 = 1 x 290 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1163 and 5524 is 1
Notice that 1 = HCF(290,1) = HCF(291,290) = HCF(872,291) = HCF(1163,872) = HCF(5524,1163) .
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Frequently Asked Questions on HCF of 1163, 5524 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, 5524?
Answer: HCF of 1163, 5524 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1163, 5524 using Euclid's Algorithm?
Answer: For arbitrary numbers 1163, 5524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.