Highest Common Factor of 996, 83411 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 996, 83411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 996, 83411 is 1 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 996, 83411 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 996, 83411 is 1.
HCF(996, 83411) = 1
HCF of 996, 83411 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 996, 83411 is 1.
Highest Common Factor of 996,83411 is 1
Step 1: Since 83411 > 996, we apply the division lemma to 83411 and 996, to get
83411 = 996 x 83 + 743
Step 2: Since the reminder 996 ≠ 0, we apply division lemma to 743 and 996, to get
996 = 743 x 1 + 253
Step 3: We consider the new divisor 743 and the new remainder 253, and apply the division lemma to get
743 = 253 x 2 + 237
We consider the new divisor 253 and the new remainder 237,and apply the division lemma to get
253 = 237 x 1 + 16
We consider the new divisor 237 and the new remainder 16,and apply the division lemma to get
237 = 16 x 14 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 996 and 83411 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(237,16) = HCF(253,237) = HCF(743,253) = HCF(996,743) = HCF(83411,996) .
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Frequently Asked Questions on HCF of 996, 83411 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 996, 83411?
Answer: HCF of 996, 83411 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 996, 83411 using Euclid's Algorithm?
Answer: For arbitrary numbers 996, 83411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.