Highest Common Factor of 566, 785, 917 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 566, 785, 917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 566, 785, 917 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 566, 785, 917 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 566, 785, 917 is 1.
HCF(566, 785, 917) = 1
HCF of 566, 785, 917 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 566, 785, 917 is 1.
Highest Common Factor of 566,785,917 is 1
Step 1: Since 785 > 566, we apply the division lemma to 785 and 566, to get
785 = 566 x 1 + 219
Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 219 and 566, to get
566 = 219 x 2 + 128
Step 3: We consider the new divisor 219 and the new remainder 128, and apply the division lemma to get
219 = 128 x 1 + 91
We consider the new divisor 128 and the new remainder 91,and apply the division lemma to get
128 = 91 x 1 + 37
We consider the new divisor 91 and the new remainder 37,and apply the division lemma to get
91 = 37 x 2 + 17
We consider the new divisor 37 and the new remainder 17,and apply the division lemma to get
37 = 17 x 2 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 566 and 785 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(37,17) = HCF(91,37) = HCF(128,91) = HCF(219,128) = HCF(566,219) = HCF(785,566) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 917 > 1, we apply the division lemma to 917 and 1, to get
917 = 1 x 917 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 917 is 1
Notice that 1 = HCF(917,1) .
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Frequently Asked Questions on HCF of 566, 785, 917 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 566, 785, 917?
Answer: HCF of 566, 785, 917 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 566, 785, 917 using Euclid's Algorithm?
Answer: For arbitrary numbers 566, 785, 917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.