Highest Common Factor of 3982, 8277 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 3982, 8277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3982, 8277 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 3982, 8277 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 3982, 8277 is 1.
HCF(3982, 8277) = 1
HCF of 3982, 8277 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3982, 8277 is 1.
Highest Common Factor of 3982,8277 is 1
Step 1: Since 8277 > 3982, we apply the division lemma to 8277 and 3982, to get
8277 = 3982 x 2 + 313
Step 2: Since the reminder 3982 ≠ 0, we apply division lemma to 313 and 3982, to get
3982 = 313 x 12 + 226
Step 3: We consider the new divisor 313 and the new remainder 226, and apply the division lemma to get
313 = 226 x 1 + 87
We consider the new divisor 226 and the new remainder 87,and apply the division lemma to get
226 = 87 x 2 + 52
We consider the new divisor 87 and the new remainder 52,and apply the division lemma to get
87 = 52 x 1 + 35
We consider the new divisor 52 and the new remainder 35,and apply the division lemma to get
52 = 35 x 1 + 17
We consider the new divisor 35 and the new remainder 17,and apply the division lemma to get
35 = 17 x 2 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3982 and 8277 is 1
Notice that 1 = HCF(17,1) = HCF(35,17) = HCF(52,35) = HCF(87,52) = HCF(226,87) = HCF(313,226) = HCF(3982,313) = HCF(8277,3982) .
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Frequently Asked Questions on HCF of 3982, 8277 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 3982, 8277?
Answer: HCF of 3982, 8277 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3982, 8277 using Euclid's Algorithm?
Answer: For arbitrary numbers 3982, 8277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.