Highest Common Factor of 817, 342, 568 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 817, 342, 568 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 817, 342, 568 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 817, 342, 568 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 817, 342, 568 is 1.
HCF(817, 342, 568) = 1
HCF of 817, 342, 568 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 817, 342, 568 is 1.
Highest Common Factor of 817,342,568 is 1
Step 1: Since 817 > 342, we apply the division lemma to 817 and 342, to get
817 = 342 x 2 + 133
Step 2: Since the reminder 342 ≠ 0, we apply division lemma to 133 and 342, to get
342 = 133 x 2 + 76
Step 3: We consider the new divisor 133 and the new remainder 76, and apply the division lemma to get
133 = 76 x 1 + 57
We consider the new divisor 76 and the new remainder 57,and apply the division lemma to get
76 = 57 x 1 + 19
We consider the new divisor 57 and the new remainder 19,and apply the division lemma to get
57 = 19 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 817 and 342 is 19
Notice that 19 = HCF(57,19) = HCF(76,57) = HCF(133,76) = HCF(342,133) = HCF(817,342) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 568 > 19, we apply the division lemma to 568 and 19, to get
568 = 19 x 29 + 17
Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 17 and 19, to get
19 = 17 x 1 + 2
Step 3: We consider the new divisor 17 and the new remainder 2, and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 19 and 568 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(568,19) .
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Frequently Asked Questions on HCF of 817, 342, 568 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 817, 342, 568?
Answer: HCF of 817, 342, 568 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 817, 342, 568 using Euclid's Algorithm?
Answer: For arbitrary numbers 817, 342, 568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.