Highest Common Factor of 8116, 8096 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 8116, 8096 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8116, 8096 is 4 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 8116, 8096 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 8116, 8096 is 4.
HCF(8116, 8096) = 4
HCF of 8116, 8096 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8116, 8096 is 4.
Highest Common Factor of 8116,8096 is 4
Step 1: Since 8116 > 8096, we apply the division lemma to 8116 and 8096, to get
8116 = 8096 x 1 + 20
Step 2: Since the reminder 8096 ≠ 0, we apply division lemma to 20 and 8096, to get
8096 = 20 x 404 + 16
Step 3: We consider the new divisor 20 and the new remainder 16, and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4, and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8116 and 8096 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(8096,20) = HCF(8116,8096) .
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Frequently Asked Questions on HCF of 8116, 8096 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 8116, 8096?
Answer: HCF of 8116, 8096 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8116, 8096 using Euclid's Algorithm?
Answer: For arbitrary numbers 8116, 8096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
