Highest Common Factor of 5639, 5184 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 5639, 5184 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5639, 5184 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 5639, 5184 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 5639, 5184 is 1.
HCF(5639, 5184) = 1
HCF of 5639, 5184 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5639, 5184 is 1.
Highest Common Factor of 5639,5184 is 1
Step 1: Since 5639 > 5184, we apply the division lemma to 5639 and 5184, to get
5639 = 5184 x 1 + 455
Step 2: Since the reminder 5184 ≠ 0, we apply division lemma to 455 and 5184, to get
5184 = 455 x 11 + 179
Step 3: We consider the new divisor 455 and the new remainder 179, and apply the division lemma to get
455 = 179 x 2 + 97
We consider the new divisor 179 and the new remainder 97,and apply the division lemma to get
179 = 97 x 1 + 82
We consider the new divisor 97 and the new remainder 82,and apply the division lemma to get
97 = 82 x 1 + 15
We consider the new divisor 82 and the new remainder 15,and apply the division lemma to get
82 = 15 x 5 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5639 and 5184 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(82,15) = HCF(97,82) = HCF(179,97) = HCF(455,179) = HCF(5184,455) = HCF(5639,5184) .
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Frequently Asked Questions on HCF of 5639, 5184 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 5639, 5184?
Answer: HCF of 5639, 5184 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5639, 5184 using Euclid's Algorithm?
Answer: For arbitrary numbers 5639, 5184 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.