Highest Common Factor of 872, 8493 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 872, 8493 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 872, 8493 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 872, 8493 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 872, 8493 is 1.
HCF(872, 8493) = 1
HCF of 872, 8493 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 872, 8493 is 1.
Highest Common Factor of 872,8493 is 1
Step 1: Since 8493 > 872, we apply the division lemma to 8493 and 872, to get
8493 = 872 x 9 + 645
Step 2: Since the reminder 872 ≠ 0, we apply division lemma to 645 and 872, to get
872 = 645 x 1 + 227
Step 3: We consider the new divisor 645 and the new remainder 227, and apply the division lemma to get
645 = 227 x 2 + 191
We consider the new divisor 227 and the new remainder 191,and apply the division lemma to get
227 = 191 x 1 + 36
We consider the new divisor 191 and the new remainder 36,and apply the division lemma to get
191 = 36 x 5 + 11
We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get
36 = 11 x 3 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 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 872 and 8493 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(191,36) = HCF(227,191) = HCF(645,227) = HCF(872,645) = HCF(8493,872) .
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Frequently Asked Questions on HCF of 872, 8493 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 872, 8493?
Answer: HCF of 872, 8493 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 872, 8493 using Euclid's Algorithm?
Answer: For arbitrary numbers 872, 8493 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
