Highest Common Factor of 170, 789, 469, 596 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 170, 789, 469, 596 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 170, 789, 469, 596 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 170, 789, 469, 596 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 170, 789, 469, 596 is 1.
HCF(170, 789, 469, 596) = 1
HCF of 170, 789, 469, 596 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 170, 789, 469, 596 is 1.
Highest Common Factor of 170,789,469,596 is 1
Step 1: Since 789 > 170, we apply the division lemma to 789 and 170, to get
789 = 170 x 4 + 109
Step 2: Since the reminder 170 ≠ 0, we apply division lemma to 109 and 170, to get
170 = 109 x 1 + 61
Step 3: We consider the new divisor 109 and the new remainder 61, and apply the division lemma to get
109 = 61 x 1 + 48
We consider the new divisor 61 and the new remainder 48,and apply the division lemma to get
61 = 48 x 1 + 13
We consider the new divisor 48 and the new remainder 13,and apply the division lemma to get
48 = 13 x 3 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 170 and 789 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(48,13) = HCF(61,48) = HCF(109,61) = HCF(170,109) = HCF(789,170) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 469 > 1, we apply the division lemma to 469 and 1, to get
469 = 1 x 469 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 469 is 1
Notice that 1 = HCF(469,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 596 > 1, we apply the division lemma to 596 and 1, to get
596 = 1 x 596 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 596 is 1
Notice that 1 = HCF(596,1) .
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Frequently Asked Questions on HCF of 170, 789, 469, 596 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 170, 789, 469, 596?
Answer: HCF of 170, 789, 469, 596 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 170, 789, 469, 596 using Euclid's Algorithm?
Answer: For arbitrary numbers 170, 789, 469, 596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
