Highest Common Factor of 502, 17437 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 502, 17437 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 502, 17437 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 502, 17437 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 502, 17437 is 1.
HCF(502, 17437) = 1
HCF of 502, 17437 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 502, 17437 is 1.
Highest Common Factor of 502,17437 is 1
Step 1: Since 17437 > 502, we apply the division lemma to 17437 and 502, to get
17437 = 502 x 34 + 369
Step 2: Since the reminder 502 ≠ 0, we apply division lemma to 369 and 502, to get
502 = 369 x 1 + 133
Step 3: We consider the new divisor 369 and the new remainder 133, and apply the division lemma to get
369 = 133 x 2 + 103
We consider the new divisor 133 and the new remainder 103,and apply the division lemma to get
133 = 103 x 1 + 30
We consider the new divisor 103 and the new remainder 30,and apply the division lemma to get
103 = 30 x 3 + 13
We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get
30 = 13 x 2 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 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 502 and 17437 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(103,30) = HCF(133,103) = HCF(369,133) = HCF(502,369) = HCF(17437,502) .
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Frequently Asked Questions on HCF of 502, 17437 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 502, 17437?
Answer: HCF of 502, 17437 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 502, 17437 using Euclid's Algorithm?
Answer: For arbitrary numbers 502, 17437 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
