Highest Common Factor of 323, 544, 480 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 323, 544, 480 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 323, 544, 480 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 323, 544, 480 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 323, 544, 480 is 1.
HCF(323, 544, 480) = 1
HCF of 323, 544, 480 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 323, 544, 480 is 1.
Highest Common Factor of 323,544,480 is 1
Step 1: Since 544 > 323, we apply the division lemma to 544 and 323, to get
544 = 323 x 1 + 221
Step 2: Since the reminder 323 ≠ 0, we apply division lemma to 221 and 323, to get
323 = 221 x 1 + 102
Step 3: We consider the new divisor 221 and the new remainder 102, and apply the division lemma to get
221 = 102 x 2 + 17
We consider the new divisor 102 and the new remainder 17, and apply the division lemma to get
102 = 17 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 323 and 544 is 17
Notice that 17 = HCF(102,17) = HCF(221,102) = HCF(323,221) = HCF(544,323) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 480 > 17, we apply the division lemma to 480 and 17, to get
480 = 17 x 28 + 4
Step 2: Since the reminder 17 ≠ 0, we apply division lemma to 4 and 17, to get
17 = 4 x 4 + 1
Step 3: 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 17 and 480 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(480,17) .
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Frequently Asked Questions on HCF of 323, 544, 480 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 323, 544, 480?
Answer: HCF of 323, 544, 480 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 323, 544, 480 using Euclid's Algorithm?
Answer: For arbitrary numbers 323, 544, 480 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.