Highest Common Factor of 593, 1908, 9991 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 593, 1908, 9991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 593, 1908, 9991 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 593, 1908, 9991 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 593, 1908, 9991 is 1.
HCF(593, 1908, 9991) = 1
HCF of 593, 1908, 9991 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 593, 1908, 9991 is 1.
Highest Common Factor of 593,1908,9991 is 1
Step 1: Since 1908 > 593, we apply the division lemma to 1908 and 593, to get
1908 = 593 x 3 + 129
Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 129 and 593, to get
593 = 129 x 4 + 77
Step 3: We consider the new divisor 129 and the new remainder 77, and apply the division lemma to get
129 = 77 x 1 + 52
We consider the new divisor 77 and the new remainder 52,and apply the division lemma to get
77 = 52 x 1 + 25
We consider the new divisor 52 and the new remainder 25,and apply the division lemma to get
52 = 25 x 2 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 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 593 and 1908 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(52,25) = HCF(77,52) = HCF(129,77) = HCF(593,129) = HCF(1908,593) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9991 > 1, we apply the division lemma to 9991 and 1, to get
9991 = 1 x 9991 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9991 is 1
Notice that 1 = HCF(9991,1) .
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Frequently Asked Questions on HCF of 593, 1908, 9991 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 593, 1908, 9991?
Answer: HCF of 593, 1908, 9991 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 593, 1908, 9991 using Euclid's Algorithm?
Answer: For arbitrary numbers 593, 1908, 9991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
