Highest Common Factor of 393, 641, 233 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 393, 641, 233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 393, 641, 233 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 393, 641, 233 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 393, 641, 233 is 1.
HCF(393, 641, 233) = 1
HCF of 393, 641, 233 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 393, 641, 233 is 1.
Highest Common Factor of 393,641,233 is 1
Step 1: Since 641 > 393, we apply the division lemma to 641 and 393, to get
641 = 393 x 1 + 248
Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 248 and 393, to get
393 = 248 x 1 + 145
Step 3: We consider the new divisor 248 and the new remainder 145, and apply the division lemma to get
248 = 145 x 1 + 103
We consider the new divisor 145 and the new remainder 103,and apply the division lemma to get
145 = 103 x 1 + 42
We consider the new divisor 103 and the new remainder 42,and apply the division lemma to get
103 = 42 x 2 + 19
We consider the new divisor 42 and the new remainder 19,and apply the division lemma to get
42 = 19 x 2 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 393 and 641 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(42,19) = HCF(103,42) = HCF(145,103) = HCF(248,145) = HCF(393,248) = HCF(641,393) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 233 > 1, we apply the division lemma to 233 and 1, to get
233 = 1 x 233 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 233 is 1
Notice that 1 = HCF(233,1) .
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Frequently Asked Questions on HCF of 393, 641, 233 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 393, 641, 233?
Answer: HCF of 393, 641, 233 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 393, 641, 233 using Euclid's Algorithm?
Answer: For arbitrary numbers 393, 641, 233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.