Highest Common Factor of 561, 333, 586, 959 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 561, 333, 586, 959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 561, 333, 586, 959 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 561, 333, 586, 959 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 561, 333, 586, 959 is 1.
HCF(561, 333, 586, 959) = 1
HCF of 561, 333, 586, 959 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 561, 333, 586, 959 is 1.
Highest Common Factor of 561,333,586,959 is 1
Step 1: Since 561 > 333, we apply the division lemma to 561 and 333, to get
561 = 333 x 1 + 228
Step 2: Since the reminder 333 ≠ 0, we apply division lemma to 228 and 333, to get
333 = 228 x 1 + 105
Step 3: We consider the new divisor 228 and the new remainder 105, and apply the division lemma to get
228 = 105 x 2 + 18
We consider the new divisor 105 and the new remainder 18,and apply the division lemma to get
105 = 18 x 5 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 561 and 333 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(105,18) = HCF(228,105) = HCF(333,228) = HCF(561,333) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 586 > 3, we apply the division lemma to 586 and 3, to get
586 = 3 x 195 + 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 586 is 1
Notice that 1 = HCF(3,1) = HCF(586,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 959 > 1, we apply the division lemma to 959 and 1, to get
959 = 1 x 959 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 959 is 1
Notice that 1 = HCF(959,1) .
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Frequently Asked Questions on HCF of 561, 333, 586, 959 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 561, 333, 586, 959?
Answer: HCF of 561, 333, 586, 959 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 561, 333, 586, 959 using Euclid's Algorithm?
Answer: For arbitrary numbers 561, 333, 586, 959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.