Highest Common Factor of 591, 716, 23 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 591, 716, 23 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 591, 716, 23 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 591, 716, 23 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 591, 716, 23 is 1.
HCF(591, 716, 23) = 1
HCF of 591, 716, 23 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 591, 716, 23 is 1.
Highest Common Factor of 591,716,23 is 1
Step 1: Since 716 > 591, we apply the division lemma to 716 and 591, to get
716 = 591 x 1 + 125
Step 2: Since the reminder 591 ≠ 0, we apply division lemma to 125 and 591, to get
591 = 125 x 4 + 91
Step 3: We consider the new divisor 125 and the new remainder 91, and apply the division lemma to get
125 = 91 x 1 + 34
We consider the new divisor 91 and the new remainder 34,and apply the division lemma to get
91 = 34 x 2 + 23
We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get
34 = 23 x 1 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 591 and 716 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(91,34) = HCF(125,91) = HCF(591,125) = HCF(716,591) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 23 > 1, we apply the division lemma to 23 and 1, to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 23 is 1
Notice that 1 = HCF(23,1) .
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Frequently Asked Questions on HCF of 591, 716, 23 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 591, 716, 23?
Answer: HCF of 591, 716, 23 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 591, 716, 23 using Euclid's Algorithm?
Answer: For arbitrary numbers 591, 716, 23 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.