Highest Common Factor of 829, 451 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 829, 451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 829, 451 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 829, 451 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 829, 451 is 1.
HCF(829, 451) = 1
HCF of 829, 451 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 829, 451 is 1.
Highest Common Factor of 829,451 is 1
Step 1: Since 829 > 451, we apply the division lemma to 829 and 451, to get
829 = 451 x 1 + 378
Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 378 and 451, to get
451 = 378 x 1 + 73
Step 3: We consider the new divisor 378 and the new remainder 73, and apply the division lemma to get
378 = 73 x 5 + 13
We consider the new divisor 73 and the new remainder 13,and apply the division lemma to get
73 = 13 x 5 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 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 829 and 451 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(73,13) = HCF(378,73) = HCF(451,378) = HCF(829,451) .
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Frequently Asked Questions on HCF of 829, 451 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 829, 451?
Answer: HCF of 829, 451 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 829, 451 using Euclid's Algorithm?
Answer: For arbitrary numbers 829, 451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
