Highest Common Factor of 5329, 6016 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 5329, 6016 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5329, 6016 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 5329, 6016 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 5329, 6016 is 1.
HCF(5329, 6016) = 1
HCF of 5329, 6016 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5329, 6016 is 1.
Highest Common Factor of 5329,6016 is 1
Step 1: Since 6016 > 5329, we apply the division lemma to 6016 and 5329, to get
6016 = 5329 x 1 + 687
Step 2: Since the reminder 5329 ≠ 0, we apply division lemma to 687 and 5329, to get
5329 = 687 x 7 + 520
Step 3: We consider the new divisor 687 and the new remainder 520, and apply the division lemma to get
687 = 520 x 1 + 167
We consider the new divisor 520 and the new remainder 167,and apply the division lemma to get
520 = 167 x 3 + 19
We consider the new divisor 167 and the new remainder 19,and apply the division lemma to get
167 = 19 x 8 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5329 and 6016 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(167,19) = HCF(520,167) = HCF(687,520) = HCF(5329,687) = HCF(6016,5329) .
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Frequently Asked Questions on HCF of 5329, 6016 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 5329, 6016?
Answer: HCF of 5329, 6016 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5329, 6016 using Euclid's Algorithm?
Answer: For arbitrary numbers 5329, 6016 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.