Highest Common Factor of 2423, 5026 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 2423, 5026 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2423, 5026 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 2423, 5026 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 2423, 5026 is 1.
HCF(2423, 5026) = 1
HCF of 2423, 5026 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2423, 5026 is 1.
Highest Common Factor of 2423,5026 is 1
Step 1: Since 5026 > 2423, we apply the division lemma to 5026 and 2423, to get
5026 = 2423 x 2 + 180
Step 2: Since the reminder 2423 ≠ 0, we apply division lemma to 180 and 2423, to get
2423 = 180 x 13 + 83
Step 3: We consider the new divisor 180 and the new remainder 83, and apply the division lemma to get
180 = 83 x 2 + 14
We consider the new divisor 83 and the new remainder 14,and apply the division lemma to get
83 = 14 x 5 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2423 and 5026 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(83,14) = HCF(180,83) = HCF(2423,180) = HCF(5026,2423) .
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Frequently Asked Questions on HCF of 2423, 5026 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 2423, 5026?
Answer: HCF of 2423, 5026 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2423, 5026 using Euclid's Algorithm?
Answer: For arbitrary numbers 2423, 5026 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.