Highest Common Factor of 366, 623 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 366, 623 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 366, 623 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 366, 623 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 366, 623 is 1.
HCF(366, 623) = 1
HCF of 366, 623 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 366, 623 is 1.
Highest Common Factor of 366,623 is 1
Step 1: Since 623 > 366, we apply the division lemma to 623 and 366, to get
623 = 366 x 1 + 257
Step 2: Since the reminder 366 ≠ 0, we apply division lemma to 257 and 366, to get
366 = 257 x 1 + 109
Step 3: We consider the new divisor 257 and the new remainder 109, and apply the division lemma to get
257 = 109 x 2 + 39
We consider the new divisor 109 and the new remainder 39,and apply the division lemma to get
109 = 39 x 2 + 31
We consider the new divisor 39 and the new remainder 31,and apply the division lemma to get
39 = 31 x 1 + 8
We consider the new divisor 31 and the new remainder 8,and apply the division lemma to get
31 = 8 x 3 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 366 and 623 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(31,8) = HCF(39,31) = HCF(109,39) = HCF(257,109) = HCF(366,257) = HCF(623,366) .
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Frequently Asked Questions on HCF of 366, 623 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 366, 623?
Answer: HCF of 366, 623 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 366, 623 using Euclid's Algorithm?
Answer: For arbitrary numbers 366, 623 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.