Highest Common Factor of 823, 580, 869 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 823, 580, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 823, 580, 869 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 823, 580, 869 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 823, 580, 869 is 1.
HCF(823, 580, 869) = 1
HCF of 823, 580, 869 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 823, 580, 869 is 1.
Highest Common Factor of 823,580,869 is 1
Step 1: Since 823 > 580, we apply the division lemma to 823 and 580, to get
823 = 580 x 1 + 243
Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 243 and 580, to get
580 = 243 x 2 + 94
Step 3: We consider the new divisor 243 and the new remainder 94, and apply the division lemma to get
243 = 94 x 2 + 55
We consider the new divisor 94 and the new remainder 55,and apply the division lemma to get
94 = 55 x 1 + 39
We consider the new divisor 55 and the new remainder 39,and apply the division lemma to get
55 = 39 x 1 + 16
We consider the new divisor 39 and the new remainder 16,and apply the division lemma to get
39 = 16 x 2 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 823 and 580 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(39,16) = HCF(55,39) = HCF(94,55) = HCF(243,94) = HCF(580,243) = HCF(823,580) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 869 > 1, we apply the division lemma to 869 and 1, to get
869 = 1 x 869 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 869 is 1
Notice that 1 = HCF(869,1) .
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Frequently Asked Questions on HCF of 823, 580, 869 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 823, 580, 869?
Answer: HCF of 823, 580, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 823, 580, 869 using Euclid's Algorithm?
Answer: For arbitrary numbers 823, 580, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.