Highest Common Factor of 316, 5861, 1589 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 316, 5861, 1589 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 316, 5861, 1589 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 316, 5861, 1589 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 316, 5861, 1589 is 1.
HCF(316, 5861, 1589) = 1
HCF of 316, 5861, 1589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 316, 5861, 1589 is 1.
Highest Common Factor of 316,5861,1589 is 1
Step 1: Since 5861 > 316, we apply the division lemma to 5861 and 316, to get
5861 = 316 x 18 + 173
Step 2: Since the reminder 316 ≠ 0, we apply division lemma to 173 and 316, to get
316 = 173 x 1 + 143
Step 3: We consider the new divisor 173 and the new remainder 143, and apply the division lemma to get
173 = 143 x 1 + 30
We consider the new divisor 143 and the new remainder 30,and apply the division lemma to get
143 = 30 x 4 + 23
We consider the new divisor 30 and the new remainder 23,and apply the division lemma to get
30 = 23 x 1 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 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 316 and 5861 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(30,23) = HCF(143,30) = HCF(173,143) = HCF(316,173) = HCF(5861,316) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1589 > 1, we apply the division lemma to 1589 and 1, to get
1589 = 1 x 1589 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1589 is 1
Notice that 1 = HCF(1589,1) .
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Frequently Asked Questions on HCF of 316, 5861, 1589 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 316, 5861, 1589?
Answer: HCF of 316, 5861, 1589 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 316, 5861, 1589 using Euclid's Algorithm?
Answer: For arbitrary numbers 316, 5861, 1589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.