Highest Common Factor of 8382, 3800 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, 3800 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8382, 3800 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 8382, 3800 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, 3800 is 2.
HCF(8382, 3800) = 2
HCF of 8382, 3800 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, 3800 is 2.
Highest Common Factor of 8382,3800 is 2
Step 1: Since 8382 > 3800, we apply the division lemma to 8382 and 3800, to get
8382 = 3800 x 2 + 782
Step 2: Since the reminder 3800 ≠ 0, we apply division lemma to 782 and 3800, to get
3800 = 782 x 4 + 672
Step 3: We consider the new divisor 782 and the new remainder 672, and apply the division lemma to get
782 = 672 x 1 + 110
We consider the new divisor 672 and the new remainder 110,and apply the division lemma to get
672 = 110 x 6 + 12
We consider the new divisor 110 and the new remainder 12,and apply the division lemma to get
110 = 12 x 9 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8382 and 3800 is 2
Notice that 2 = HCF(12,2) = HCF(110,12) = HCF(672,110) = HCF(782,672) = HCF(3800,782) = HCF(8382,3800) .
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Frequently Asked Questions on HCF of 8382, 3800 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, 3800?
Answer: HCF of 8382, 3800 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8382, 3800 using Euclid's Algorithm?
Answer: For arbitrary numbers 8382, 3800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.