Highest Common Factor of 361, 574, 683 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 361, 574, 683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 361, 574, 683 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 361, 574, 683 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 361, 574, 683 is 1.
HCF(361, 574, 683) = 1
HCF of 361, 574, 683 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 361, 574, 683 is 1.
Highest Common Factor of 361,574,683 is 1
Step 1: Since 574 > 361, we apply the division lemma to 574 and 361, to get
574 = 361 x 1 + 213
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 213 and 361, to get
361 = 213 x 1 + 148
Step 3: We consider the new divisor 213 and the new remainder 148, and apply the division lemma to get
213 = 148 x 1 + 65
We consider the new divisor 148 and the new remainder 65,and apply the division lemma to get
148 = 65 x 2 + 18
We consider the new divisor 65 and the new remainder 18,and apply the division lemma to get
65 = 18 x 3 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 361 and 574 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(65,18) = HCF(148,65) = HCF(213,148) = HCF(361,213) = HCF(574,361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 683 > 1, we apply the division lemma to 683 and 1, to get
683 = 1 x 683 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 683 is 1
Notice that 1 = HCF(683,1) .
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Frequently Asked Questions on HCF of 361, 574, 683 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 361, 574, 683?
Answer: HCF of 361, 574, 683 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 361, 574, 683 using Euclid's Algorithm?
Answer: For arbitrary numbers 361, 574, 683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.