Highest Common Factor of 530, 14241 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 530, 14241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 530, 14241 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 530, 14241 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 530, 14241 is 1.
HCF(530, 14241) = 1
HCF of 530, 14241 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 530, 14241 is 1.
Highest Common Factor of 530,14241 is 1
Step 1: Since 14241 > 530, we apply the division lemma to 14241 and 530, to get
14241 = 530 x 26 + 461
Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 461 and 530, to get
530 = 461 x 1 + 69
Step 3: We consider the new divisor 461 and the new remainder 69, and apply the division lemma to get
461 = 69 x 6 + 47
We consider the new divisor 69 and the new remainder 47,and apply the division lemma to get
69 = 47 x 1 + 22
We consider the new divisor 47 and the new remainder 22,and apply the division lemma to get
47 = 22 x 2 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 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 530 and 14241 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(47,22) = HCF(69,47) = HCF(461,69) = HCF(530,461) = HCF(14241,530) .
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Frequently Asked Questions on HCF of 530, 14241 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 530, 14241?
Answer: HCF of 530, 14241 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 530, 14241 using Euclid's Algorithm?
Answer: For arbitrary numbers 530, 14241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.