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, 3289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 591, 3289 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, 3289 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, 3289 is 1.
HCF(591, 3289) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 591, 3289 is 1.
Step 1: Since 3289 > 591, we apply the division lemma to 3289 and 591, to get
3289 = 591 x 5 + 334
Step 2: Since the reminder 591 ≠ 0, we apply division lemma to 334 and 591, to get
591 = 334 x 1 + 257
Step 3: We consider the new divisor 334 and the new remainder 257, and apply the division lemma to get
334 = 257 x 1 + 77
We consider the new divisor 257 and the new remainder 77,and apply the division lemma to get
257 = 77 x 3 + 26
We consider the new divisor 77 and the new remainder 26,and apply the division lemma to get
77 = 26 x 2 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 591 and 3289 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(77,26) = HCF(257,77) = HCF(334,257) = HCF(591,334) = HCF(3289,591) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 3289?
Answer: HCF of 591, 3289 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 591, 3289 using Euclid's Algorithm?
Answer: For arbitrary numbers 591, 3289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.