Highest Common Factor of 8049, 826 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 8049, 826 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8049, 826 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 8049, 826 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 8049, 826 is 1.
HCF(8049, 826) = 1
HCF of 8049, 826 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8049, 826 is 1.
Highest Common Factor of 8049,826 is 1
Step 1: Since 8049 > 826, we apply the division lemma to 8049 and 826, to get
8049 = 826 x 9 + 615
Step 2: Since the reminder 826 ≠ 0, we apply division lemma to 615 and 826, to get
826 = 615 x 1 + 211
Step 3: We consider the new divisor 615 and the new remainder 211, and apply the division lemma to get
615 = 211 x 2 + 193
We consider the new divisor 211 and the new remainder 193,and apply the division lemma to get
211 = 193 x 1 + 18
We consider the new divisor 193 and the new remainder 18,and apply the division lemma to get
193 = 18 x 10 + 13
We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get
18 = 13 x 1 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8049 and 826 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(193,18) = HCF(211,193) = HCF(615,211) = HCF(826,615) = HCF(8049,826) .
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Frequently Asked Questions on HCF of 8049, 826 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 8049, 826?
Answer: HCF of 8049, 826 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8049, 826 using Euclid's Algorithm?
Answer: For arbitrary numbers 8049, 826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.