Highest Common Factor of 828, 6287 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 828, 6287 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 828, 6287 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 828, 6287 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 828, 6287 is 1.
HCF(828, 6287) = 1
HCF of 828, 6287 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 828, 6287 is 1.
Highest Common Factor of 828,6287 is 1
Step 1: Since 6287 > 828, we apply the division lemma to 6287 and 828, to get
6287 = 828 x 7 + 491
Step 2: Since the reminder 828 ≠ 0, we apply division lemma to 491 and 828, to get
828 = 491 x 1 + 337
Step 3: We consider the new divisor 491 and the new remainder 337, and apply the division lemma to get
491 = 337 x 1 + 154
We consider the new divisor 337 and the new remainder 154,and apply the division lemma to get
337 = 154 x 2 + 29
We consider the new divisor 154 and the new remainder 29,and apply the division lemma to get
154 = 29 x 5 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 828 and 6287 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(154,29) = HCF(337,154) = HCF(491,337) = HCF(828,491) = HCF(6287,828) .
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Frequently Asked Questions on HCF of 828, 6287 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 828, 6287?
Answer: HCF of 828, 6287 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 828, 6287 using Euclid's Algorithm?
Answer: For arbitrary numbers 828, 6287 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.