Highest Common Factor of 423, 7580 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 423, 7580 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 423, 7580 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 423, 7580 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 423, 7580 is 1.
HCF(423, 7580) = 1
HCF of 423, 7580 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 423, 7580 is 1.
Highest Common Factor of 423,7580 is 1
Step 1: Since 7580 > 423, we apply the division lemma to 7580 and 423, to get
7580 = 423 x 17 + 389
Step 2: Since the reminder 423 ≠ 0, we apply division lemma to 389 and 423, to get
423 = 389 x 1 + 34
Step 3: We consider the new divisor 389 and the new remainder 34, and apply the division lemma to get
389 = 34 x 11 + 15
We consider the new divisor 34 and the new remainder 15,and apply the division lemma to get
34 = 15 x 2 + 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 423 and 7580 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(389,34) = HCF(423,389) = HCF(7580,423) .
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Frequently Asked Questions on HCF of 423, 7580 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 423, 7580?
Answer: HCF of 423, 7580 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 423, 7580 using Euclid's Algorithm?
Answer: For arbitrary numbers 423, 7580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.