Highest Common Factor of 323, 1404, 1955 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, 1404, 1955 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 323, 1404, 1955 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, 1404, 1955 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, 1404, 1955 is 1.
HCF(323, 1404, 1955) = 1
HCF of 323, 1404, 1955 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, 1404, 1955 is 1.
Highest Common Factor of 323,1404,1955 is 1
Step 1: Since 1404 > 323, we apply the division lemma to 1404 and 323, to get
1404 = 323 x 4 + 112
Step 2: Since the reminder 323 ≠ 0, we apply division lemma to 112 and 323, to get
323 = 112 x 2 + 99
Step 3: We consider the new divisor 112 and the new remainder 99, and apply the division lemma to get
112 = 99 x 1 + 13
We consider the new divisor 99 and the new remainder 13,and apply the division lemma to get
99 = 13 x 7 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 323 and 1404 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(99,13) = HCF(112,99) = HCF(323,112) = HCF(1404,323) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1955 > 1, we apply the division lemma to 1955 and 1, to get
1955 = 1 x 1955 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1955 is 1
Notice that 1 = HCF(1955,1) .
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Frequently Asked Questions on HCF of 323, 1404, 1955 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, 1404, 1955?
Answer: HCF of 323, 1404, 1955 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 323, 1404, 1955 using Euclid's Algorithm?
Answer: For arbitrary numbers 323, 1404, 1955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.