Highest Common Factor of 5201, 8584 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 5201, 8584 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5201, 8584 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 5201, 8584 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 5201, 8584 is 1.
HCF(5201, 8584) = 1
HCF of 5201, 8584 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5201, 8584 is 1.
Highest Common Factor of 5201,8584 is 1
Step 1: Since 8584 > 5201, we apply the division lemma to 8584 and 5201, to get
8584 = 5201 x 1 + 3383
Step 2: Since the reminder 5201 ≠ 0, we apply division lemma to 3383 and 5201, to get
5201 = 3383 x 1 + 1818
Step 3: We consider the new divisor 3383 and the new remainder 1818, and apply the division lemma to get
3383 = 1818 x 1 + 1565
We consider the new divisor 1818 and the new remainder 1565,and apply the division lemma to get
1818 = 1565 x 1 + 253
We consider the new divisor 1565 and the new remainder 253,and apply the division lemma to get
1565 = 253 x 6 + 47
We consider the new divisor 253 and the new remainder 47,and apply the division lemma to get
253 = 47 x 5 + 18
We consider the new divisor 47 and the new remainder 18,and apply the division lemma to get
47 = 18 x 2 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 5201 and 8584 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(47,18) = HCF(253,47) = HCF(1565,253) = HCF(1818,1565) = HCF(3383,1818) = HCF(5201,3383) = HCF(8584,5201) .
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Frequently Asked Questions on HCF of 5201, 8584 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 5201, 8584?
Answer: HCF of 5201, 8584 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5201, 8584 using Euclid's Algorithm?
Answer: For arbitrary numbers 5201, 8584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
