Highest Common Factor of 8941, 4059 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 8941, 4059 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8941, 4059 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 8941, 4059 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 8941, 4059 is 1.
HCF(8941, 4059) = 1
HCF of 8941, 4059 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8941, 4059 is 1.
Highest Common Factor of 8941,4059 is 1
Step 1: Since 8941 > 4059, we apply the division lemma to 8941 and 4059, to get
8941 = 4059 x 2 + 823
Step 2: Since the reminder 4059 ≠ 0, we apply division lemma to 823 and 4059, to get
4059 = 823 x 4 + 767
Step 3: We consider the new divisor 823 and the new remainder 767, and apply the division lemma to get
823 = 767 x 1 + 56
We consider the new divisor 767 and the new remainder 56,and apply the division lemma to get
767 = 56 x 13 + 39
We consider the new divisor 56 and the new remainder 39,and apply the division lemma to get
56 = 39 x 1 + 17
We consider the new divisor 39 and the new remainder 17,and apply the division lemma to get
39 = 17 x 2 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8941 and 4059 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(39,17) = HCF(56,39) = HCF(767,56) = HCF(823,767) = HCF(4059,823) = HCF(8941,4059) .
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Frequently Asked Questions on HCF of 8941, 4059 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 8941, 4059?
Answer: HCF of 8941, 4059 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8941, 4059 using Euclid's Algorithm?
Answer: For arbitrary numbers 8941, 4059 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
