Highest Common Factor of 2424, 8343 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 2424, 8343 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2424, 8343 is 3 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 2424, 8343 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 2424, 8343 is 3.
HCF(2424, 8343) = 3
HCF of 2424, 8343 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2424, 8343 is 3.
Highest Common Factor of 2424,8343 is 3
Step 1: Since 8343 > 2424, we apply the division lemma to 8343 and 2424, to get
8343 = 2424 x 3 + 1071
Step 2: Since the reminder 2424 ≠ 0, we apply division lemma to 1071 and 2424, to get
2424 = 1071 x 2 + 282
Step 3: We consider the new divisor 1071 and the new remainder 282, and apply the division lemma to get
1071 = 282 x 3 + 225
We consider the new divisor 282 and the new remainder 225,and apply the division lemma to get
282 = 225 x 1 + 57
We consider the new divisor 225 and the new remainder 57,and apply the division lemma to get
225 = 57 x 3 + 54
We consider the new divisor 57 and the new remainder 54,and apply the division lemma to get
57 = 54 x 1 + 3
We consider the new divisor 54 and the new remainder 3,and apply the division lemma to get
54 = 3 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2424 and 8343 is 3
Notice that 3 = HCF(54,3) = HCF(57,54) = HCF(225,57) = HCF(282,225) = HCF(1071,282) = HCF(2424,1071) = HCF(8343,2424) .
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Frequently Asked Questions on HCF of 2424, 8343 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 2424, 8343?
Answer: HCF of 2424, 8343 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2424, 8343 using Euclid's Algorithm?
Answer: For arbitrary numbers 2424, 8343 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.