Highest Common Factor of 5424, 8382 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 5424, 8382 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5424, 8382 is 6 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 5424, 8382 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 5424, 8382 is 6.
HCF(5424, 8382) = 6
HCF of 5424, 8382 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5424, 8382 is 6.
Highest Common Factor of 5424,8382 is 6
Step 1: Since 8382 > 5424, we apply the division lemma to 8382 and 5424, to get
8382 = 5424 x 1 + 2958
Step 2: Since the reminder 5424 ≠ 0, we apply division lemma to 2958 and 5424, to get
5424 = 2958 x 1 + 2466
Step 3: We consider the new divisor 2958 and the new remainder 2466, and apply the division lemma to get
2958 = 2466 x 1 + 492
We consider the new divisor 2466 and the new remainder 492,and apply the division lemma to get
2466 = 492 x 5 + 6
We consider the new divisor 492 and the new remainder 6,and apply the division lemma to get
492 = 6 x 82 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5424 and 8382 is 6
Notice that 6 = HCF(492,6) = HCF(2466,492) = HCF(2958,2466) = HCF(5424,2958) = HCF(8382,5424) .
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Frequently Asked Questions on HCF of 5424, 8382 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 5424, 8382?
Answer: HCF of 5424, 8382 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5424, 8382 using Euclid's Algorithm?
Answer: For arbitrary numbers 5424, 8382 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.