Highest Common Factor of 261, 591, 562 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 261, 591, 562 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 261, 591, 562 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 261, 591, 562 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 261, 591, 562 is 1.
HCF(261, 591, 562) = 1
HCF of 261, 591, 562 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 261, 591, 562 is 1.
Highest Common Factor of 261,591,562 is 1
Step 1: Since 591 > 261, we apply the division lemma to 591 and 261, to get
591 = 261 x 2 + 69
Step 2: Since the reminder 261 ≠ 0, we apply division lemma to 69 and 261, to get
261 = 69 x 3 + 54
Step 3: We consider the new divisor 69 and the new remainder 54, and apply the division lemma to get
69 = 54 x 1 + 15
We consider the new divisor 54 and the new remainder 15,and apply the division lemma to get
54 = 15 x 3 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 261 and 591 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(54,15) = HCF(69,54) = HCF(261,69) = HCF(591,261) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 562 > 3, we apply the division lemma to 562 and 3, to get
562 = 3 x 187 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 562 is 1
Notice that 1 = HCF(3,1) = HCF(562,3) .
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Frequently Asked Questions on HCF of 261, 591, 562 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 261, 591, 562?
Answer: HCF of 261, 591, 562 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 261, 591, 562 using Euclid's Algorithm?
Answer: For arbitrary numbers 261, 591, 562 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.