Highest Common Factor of 536, 5191 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 536, 5191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 536, 5191 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 536, 5191 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 536, 5191 is 1.
HCF(536, 5191) = 1
HCF of 536, 5191 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 536, 5191 is 1.
Highest Common Factor of 536,5191 is 1
Step 1: Since 5191 > 536, we apply the division lemma to 5191 and 536, to get
5191 = 536 x 9 + 367
Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 367 and 536, to get
536 = 367 x 1 + 169
Step 3: We consider the new divisor 367 and the new remainder 169, and apply the division lemma to get
367 = 169 x 2 + 29
We consider the new divisor 169 and the new remainder 29,and apply the division lemma to get
169 = 29 x 5 + 24
We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get
29 = 24 x 1 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 536 and 5191 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(169,29) = HCF(367,169) = HCF(536,367) = HCF(5191,536) .
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Frequently Asked Questions on HCF of 536, 5191 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 536, 5191?
Answer: HCF of 536, 5191 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 536, 5191 using Euclid's Algorithm?
Answer: For arbitrary numbers 536, 5191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.