Highest Common Factor of 583, 997, 683, 873 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 583, 997, 683, 873 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 583, 997, 683, 873 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 583, 997, 683, 873 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 583, 997, 683, 873 is 1.
HCF(583, 997, 683, 873) = 1
HCF of 583, 997, 683, 873 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 583, 997, 683, 873 is 1.
Highest Common Factor of 583,997,683,873 is 1
Step 1: Since 997 > 583, we apply the division lemma to 997 and 583, to get
997 = 583 x 1 + 414
Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 414 and 583, to get
583 = 414 x 1 + 169
Step 3: We consider the new divisor 414 and the new remainder 169, and apply the division lemma to get
414 = 169 x 2 + 76
We consider the new divisor 169 and the new remainder 76,and apply the division lemma to get
169 = 76 x 2 + 17
We consider the new divisor 76 and the new remainder 17,and apply the division lemma to get
76 = 17 x 4 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 583 and 997 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(76,17) = HCF(169,76) = HCF(414,169) = HCF(583,414) = HCF(997,583) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 683 > 1, we apply the division lemma to 683 and 1, to get
683 = 1 x 683 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 683 is 1
Notice that 1 = HCF(683,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 873 > 1, we apply the division lemma to 873 and 1, to get
873 = 1 x 873 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 873 is 1
Notice that 1 = HCF(873,1) .
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Frequently Asked Questions on HCF of 583, 997, 683, 873 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 583, 997, 683, 873?
Answer: HCF of 583, 997, 683, 873 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 583, 997, 683, 873 using Euclid's Algorithm?
Answer: For arbitrary numbers 583, 997, 683, 873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.