Highest Common Factor of 520, 866, 17, 663 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 520, 866, 17, 663 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 866, 17, 663 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 520, 866, 17, 663 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 520, 866, 17, 663 is 1.
HCF(520, 866, 17, 663) = 1
HCF of 520, 866, 17, 663 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 520, 866, 17, 663 is 1.
Highest Common Factor of 520,866,17,663 is 1
Step 1: Since 866 > 520, we apply the division lemma to 866 and 520, to get
866 = 520 x 1 + 346
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 346 and 520, to get
520 = 346 x 1 + 174
Step 3: We consider the new divisor 346 and the new remainder 174, and apply the division lemma to get
346 = 174 x 1 + 172
We consider the new divisor 174 and the new remainder 172,and apply the division lemma to get
174 = 172 x 1 + 2
We consider the new divisor 172 and the new remainder 2,and apply the division lemma to get
172 = 2 x 86 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 520 and 866 is 2
Notice that 2 = HCF(172,2) = HCF(174,172) = HCF(346,174) = HCF(520,346) = HCF(866,520) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17 > 2, we apply the division lemma to 17 and 2, to get
17 = 2 x 8 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 17 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 663 > 1, we apply the division lemma to 663 and 1, to get
663 = 1 x 663 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 663 is 1
Notice that 1 = HCF(663,1) .
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Frequently Asked Questions on HCF of 520, 866, 17, 663 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 520, 866, 17, 663?
Answer: HCF of 520, 866, 17, 663 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 866, 17, 663 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 866, 17, 663 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
