Highest Common Factor of 408, 24381 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 408, 24381 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 408, 24381 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 408, 24381 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 408, 24381 is 3.
HCF(408, 24381) = 3
HCF of 408, 24381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 408, 24381 is 3.
Highest Common Factor of 408,24381 is 3
Step 1: Since 24381 > 408, we apply the division lemma to 24381 and 408, to get
24381 = 408 x 59 + 309
Step 2: Since the reminder 408 ≠ 0, we apply division lemma to 309 and 408, to get
408 = 309 x 1 + 99
Step 3: We consider the new divisor 309 and the new remainder 99, and apply the division lemma to get
309 = 99 x 3 + 12
We consider the new divisor 99 and the new remainder 12,and apply the division lemma to get
99 = 12 x 8 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 408 and 24381 is 3
Notice that 3 = HCF(12,3) = HCF(99,12) = HCF(309,99) = HCF(408,309) = HCF(24381,408) .
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Frequently Asked Questions on HCF of 408, 24381 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 408, 24381?
Answer: HCF of 408, 24381 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 408, 24381 using Euclid's Algorithm?
Answer: For arbitrary numbers 408, 24381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.