Highest Common Factor of 828, 2815 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, 2815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 828, 2815 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, 2815 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, 2815 is 1.
HCF(828, 2815) = 1
HCF of 828, 2815 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, 2815 is 1.
Highest Common Factor of 828,2815 is 1
Step 1: Since 2815 > 828, we apply the division lemma to 2815 and 828, to get
2815 = 828 x 3 + 331
Step 2: Since the reminder 828 ≠ 0, we apply division lemma to 331 and 828, to get
828 = 331 x 2 + 166
Step 3: We consider the new divisor 331 and the new remainder 166, and apply the division lemma to get
331 = 166 x 1 + 165
We consider the new divisor 166 and the new remainder 165,and apply the division lemma to get
166 = 165 x 1 + 1
We consider the new divisor 165 and the new remainder 1,and apply the division lemma to get
165 = 1 x 165 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 828 and 2815 is 1
Notice that 1 = HCF(165,1) = HCF(166,165) = HCF(331,166) = HCF(828,331) = HCF(2815,828) .
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Frequently Asked Questions on HCF of 828, 2815 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, 2815?
Answer: HCF of 828, 2815 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 828, 2815 using Euclid's Algorithm?
Answer: For arbitrary numbers 828, 2815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.