Highest Common Factor of 643, 909, 384, 324 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 643, 909, 384, 324 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 643, 909, 384, 324 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 643, 909, 384, 324 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 643, 909, 384, 324 is 1.
HCF(643, 909, 384, 324) = 1
HCF of 643, 909, 384, 324 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 643, 909, 384, 324 is 1.
Highest Common Factor of 643,909,384,324 is 1
Step 1: Since 909 > 643, we apply the division lemma to 909 and 643, to get
909 = 643 x 1 + 266
Step 2: Since the reminder 643 ≠ 0, we apply division lemma to 266 and 643, to get
643 = 266 x 2 + 111
Step 3: We consider the new divisor 266 and the new remainder 111, and apply the division lemma to get
266 = 111 x 2 + 44
We consider the new divisor 111 and the new remainder 44,and apply the division lemma to get
111 = 44 x 2 + 23
We consider the new divisor 44 and the new remainder 23,and apply the division lemma to get
44 = 23 x 1 + 21
We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get
23 = 21 x 1 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 643 and 909 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(44,23) = HCF(111,44) = HCF(266,111) = HCF(643,266) = HCF(909,643) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 384 > 1, we apply the division lemma to 384 and 1, to get
384 = 1 x 384 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 384 is 1
Notice that 1 = HCF(384,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 324 > 1, we apply the division lemma to 324 and 1, to get
324 = 1 x 324 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 324 is 1
Notice that 1 = HCF(324,1) .
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Frequently Asked Questions on HCF of 643, 909, 384, 324 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 643, 909, 384, 324?
Answer: HCF of 643, 909, 384, 324 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 643, 909, 384, 324 using Euclid's Algorithm?
Answer: For arbitrary numbers 643, 909, 384, 324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
