Highest Common Factor of 579, 162, 559, 74 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 579, 162, 559, 74 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 579, 162, 559, 74 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 579, 162, 559, 74 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 579, 162, 559, 74 is 1.
HCF(579, 162, 559, 74) = 1
HCF of 579, 162, 559, 74 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 579, 162, 559, 74 is 1.
Highest Common Factor of 579,162,559,74 is 1
Step 1: Since 579 > 162, we apply the division lemma to 579 and 162, to get
579 = 162 x 3 + 93
Step 2: Since the reminder 162 ≠ 0, we apply division lemma to 93 and 162, to get
162 = 93 x 1 + 69
Step 3: We consider the new divisor 93 and the new remainder 69, and apply the division lemma to get
93 = 69 x 1 + 24
We consider the new divisor 69 and the new remainder 24,and apply the division lemma to get
69 = 24 x 2 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 579 and 162 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(69,24) = HCF(93,69) = HCF(162,93) = HCF(579,162) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 559 > 3, we apply the division lemma to 559 and 3, to get
559 = 3 x 186 + 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 559 is 1
Notice that 1 = HCF(3,1) = HCF(559,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 74 > 1, we apply the division lemma to 74 and 1, to get
74 = 1 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74 is 1
Notice that 1 = HCF(74,1) .
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Frequently Asked Questions on HCF of 579, 162, 559, 74 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 579, 162, 559, 74?
Answer: HCF of 579, 162, 559, 74 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 579, 162, 559, 74 using Euclid's Algorithm?
Answer: For arbitrary numbers 579, 162, 559, 74 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.