Highest Common Factor of 8396, 8298, 38784 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 8396, 8298, 38784 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8396, 8298, 38784 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 8396, 8298, 38784 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 8396, 8298, 38784 is 2.
HCF(8396, 8298, 38784) = 2
HCF of 8396, 8298, 38784 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8396, 8298, 38784 is 2.
Highest Common Factor of 8396,8298,38784 is 2
Step 1: Since 8396 > 8298, we apply the division lemma to 8396 and 8298, to get
8396 = 8298 x 1 + 98
Step 2: Since the reminder 8298 ≠ 0, we apply division lemma to 98 and 8298, to get
8298 = 98 x 84 + 66
Step 3: We consider the new divisor 98 and the new remainder 66, and apply the division lemma to get
98 = 66 x 1 + 32
We consider the new divisor 66 and the new remainder 32,and apply the division lemma to get
66 = 32 x 2 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8396 and 8298 is 2
Notice that 2 = HCF(32,2) = HCF(66,32) = HCF(98,66) = HCF(8298,98) = HCF(8396,8298) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38784 > 2, we apply the division lemma to 38784 and 2, to get
38784 = 2 x 19392 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 38784 is 2
Notice that 2 = HCF(38784,2) .
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Frequently Asked Questions on HCF of 8396, 8298, 38784 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 8396, 8298, 38784?
Answer: HCF of 8396, 8298, 38784 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8396, 8298, 38784 using Euclid's Algorithm?
Answer: For arbitrary numbers 8396, 8298, 38784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.