Highest Common Factor of 6382, 4336 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 6382, 4336 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6382, 4336 is 2 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 6382, 4336 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 6382, 4336 is 2.
HCF(6382, 4336) = 2
HCF of 6382, 4336 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6382, 4336 is 2.
Highest Common Factor of 6382,4336 is 2
Step 1: Since 6382 > 4336, we apply the division lemma to 6382 and 4336, to get
6382 = 4336 x 1 + 2046
Step 2: Since the reminder 4336 ≠ 0, we apply division lemma to 2046 and 4336, to get
4336 = 2046 x 2 + 244
Step 3: We consider the new divisor 2046 and the new remainder 244, and apply the division lemma to get
2046 = 244 x 8 + 94
We consider the new divisor 244 and the new remainder 94,and apply the division lemma to get
244 = 94 x 2 + 56
We consider the new divisor 94 and the new remainder 56,and apply the division lemma to get
94 = 56 x 1 + 38
We consider the new divisor 56 and the new remainder 38,and apply the division lemma to get
56 = 38 x 1 + 18
We consider the new divisor 38 and the new remainder 18,and apply the division lemma to get
38 = 18 x 2 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6382 and 4336 is 2
Notice that 2 = HCF(18,2) = HCF(38,18) = HCF(56,38) = HCF(94,56) = HCF(244,94) = HCF(2046,244) = HCF(4336,2046) = HCF(6382,4336) .
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Frequently Asked Questions on HCF of 6382, 4336 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 6382, 4336?
Answer: HCF of 6382, 4336 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6382, 4336 using Euclid's Algorithm?
Answer: For arbitrary numbers 6382, 4336 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.