Highest Common Factor of 829, 647 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, 647 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 829, 647 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, 647 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, 647 is 1.
HCF(829, 647) = 1
HCF of 829, 647 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, 647 is 1.
Highest Common Factor of 829,647 is 1
Step 1: Since 829 > 647, we apply the division lemma to 829 and 647, to get
829 = 647 x 1 + 182
Step 2: Since the reminder 647 ≠ 0, we apply division lemma to 182 and 647, to get
647 = 182 x 3 + 101
Step 3: We consider the new divisor 182 and the new remainder 101, and apply the division lemma to get
182 = 101 x 1 + 81
We consider the new divisor 101 and the new remainder 81,and apply the division lemma to get
101 = 81 x 1 + 20
We consider the new divisor 81 and the new remainder 20,and apply the division lemma to get
81 = 20 x 4 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 829 and 647 is 1
Notice that 1 = HCF(20,1) = HCF(81,20) = HCF(101,81) = HCF(182,101) = HCF(647,182) = HCF(829,647) .
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Frequently Asked Questions on HCF of 829, 647 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, 647?
Answer: HCF of 829, 647 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 829, 647 using Euclid's Algorithm?
Answer: For arbitrary numbers 829, 647 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.