Highest Common Factor of 8382, 3960 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 8382, 3960 i.e. 66 the largest integer that leaves a remainder zero for all numbers.
HCF of 8382, 3960 is 66 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 8382, 3960 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 8382, 3960 is 66.
HCF(8382, 3960) = 66
HCF of 8382, 3960 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8382, 3960 is 66.
Highest Common Factor of 8382,3960 is 66
Step 1: Since 8382 > 3960, we apply the division lemma to 8382 and 3960, to get
8382 = 3960 x 2 + 462
Step 2: Since the reminder 3960 ≠ 0, we apply division lemma to 462 and 3960, to get
3960 = 462 x 8 + 264
Step 3: We consider the new divisor 462 and the new remainder 264, and apply the division lemma to get
462 = 264 x 1 + 198
We consider the new divisor 264 and the new remainder 198,and apply the division lemma to get
264 = 198 x 1 + 66
We consider the new divisor 198 and the new remainder 66,and apply the division lemma to get
198 = 66 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 66, the HCF of 8382 and 3960 is 66
Notice that 66 = HCF(198,66) = HCF(264,198) = HCF(462,264) = HCF(3960,462) = HCF(8382,3960) .
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Frequently Asked Questions on HCF of 8382, 3960 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 8382, 3960?
Answer: HCF of 8382, 3960 is 66 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8382, 3960 using Euclid's Algorithm?
Answer: For arbitrary numbers 8382, 3960 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
