Highest Common Factor of 603, 4623 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 603, 4623 i.e. 201 the largest integer that leaves a remainder zero for all numbers.
HCF of 603, 4623 is 201 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 603, 4623 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 603, 4623 is 201.
HCF(603, 4623) = 201
HCF of 603, 4623 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 603, 4623 is 201.
Highest Common Factor of 603,4623 is 201
Step 1: Since 4623 > 603, we apply the division lemma to 4623 and 603, to get
4623 = 603 x 7 + 402
Step 2: Since the reminder 603 ≠ 0, we apply division lemma to 402 and 603, to get
603 = 402 x 1 + 201
Step 3: We consider the new divisor 402 and the new remainder 201, and apply the division lemma to get
402 = 201 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 201, the HCF of 603 and 4623 is 201
Notice that 201 = HCF(402,201) = HCF(603,402) = HCF(4623,603) .
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Frequently Asked Questions on HCF of 603, 4623 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 603, 4623?
Answer: HCF of 603, 4623 is 201 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 603, 4623 using Euclid's Algorithm?
Answer: For arbitrary numbers 603, 4623 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
