Highest Common Factor of 517, 893, 323, 303 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 517, 893, 323, 303 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 517, 893, 323, 303 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 517, 893, 323, 303 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 517, 893, 323, 303 is 1.
HCF(517, 893, 323, 303) = 1
HCF of 517, 893, 323, 303 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 517, 893, 323, 303 is 1.
Highest Common Factor of 517,893,323,303 is 1
Step 1: Since 893 > 517, we apply the division lemma to 893 and 517, to get
893 = 517 x 1 + 376
Step 2: Since the reminder 517 ≠ 0, we apply division lemma to 376 and 517, to get
517 = 376 x 1 + 141
Step 3: We consider the new divisor 376 and the new remainder 141, and apply the division lemma to get
376 = 141 x 2 + 94
We consider the new divisor 141 and the new remainder 94,and apply the division lemma to get
141 = 94 x 1 + 47
We consider the new divisor 94 and the new remainder 47,and apply the division lemma to get
94 = 47 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 517 and 893 is 47
Notice that 47 = HCF(94,47) = HCF(141,94) = HCF(376,141) = HCF(517,376) = HCF(893,517) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 323 > 47, we apply the division lemma to 323 and 47, to get
323 = 47 x 6 + 41
Step 2: Since the reminder 47 ≠ 0, we apply division lemma to 41 and 47, to get
47 = 41 x 1 + 6
Step 3: We consider the new divisor 41 and the new remainder 6, and apply the division lemma to get
41 = 6 x 6 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 47 and 323 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(41,6) = HCF(47,41) = HCF(323,47) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 303 > 1, we apply the division lemma to 303 and 1, to get
303 = 1 x 303 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 303 is 1
Notice that 1 = HCF(303,1) .
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Frequently Asked Questions on HCF of 517, 893, 323, 303 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 517, 893, 323, 303?
Answer: HCF of 517, 893, 323, 303 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 517, 893, 323, 303 using Euclid's Algorithm?
Answer: For arbitrary numbers 517, 893, 323, 303 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.