Highest Common Factor of 323, 884, 747 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, 884, 747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 323, 884, 747 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, 884, 747 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, 884, 747 is 1.
HCF(323, 884, 747) = 1
HCF of 323, 884, 747 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, 884, 747 is 1.
Highest Common Factor of 323,884,747 is 1
Step 1: Since 884 > 323, we apply the division lemma to 884 and 323, to get
884 = 323 x 2 + 238
Step 2: Since the reminder 323 ≠ 0, we apply division lemma to 238 and 323, to get
323 = 238 x 1 + 85
Step 3: We consider the new divisor 238 and the new remainder 85, and apply the division lemma to get
238 = 85 x 2 + 68
We consider the new divisor 85 and the new remainder 68,and apply the division lemma to get
85 = 68 x 1 + 17
We consider the new divisor 68 and the new remainder 17,and apply the division lemma to get
68 = 17 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 323 and 884 is 17
Notice that 17 = HCF(68,17) = HCF(85,68) = HCF(238,85) = HCF(323,238) = HCF(884,323) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 747 > 17, we apply the division lemma to 747 and 17, to get
747 = 17 x 43 + 16
Step 2: Since the reminder 17 ≠ 0, we apply division lemma to 16 and 17, to get
17 = 16 x 1 + 1
Step 3: We consider the new divisor 16 and the new remainder 1, and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 17 and 747 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(747,17) .
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Frequently Asked Questions on HCF of 323, 884, 747 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, 884, 747?
Answer: HCF of 323, 884, 747 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 323, 884, 747 using Euclid's Algorithm?
Answer: For arbitrary numbers 323, 884, 747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.