Highest Common Factor of 366, 8273, 7108 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, 8273, 7108 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 366, 8273, 7108 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, 8273, 7108 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, 8273, 7108 is 1.
HCF(366, 8273, 7108) = 1
HCF of 366, 8273, 7108 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, 8273, 7108 is 1.
Highest Common Factor of 366,8273,7108 is 1
Step 1: Since 8273 > 366, we apply the division lemma to 8273 and 366, to get
8273 = 366 x 22 + 221
Step 2: Since the reminder 366 ≠ 0, we apply division lemma to 221 and 366, to get
366 = 221 x 1 + 145
Step 3: We consider the new divisor 221 and the new remainder 145, and apply the division lemma to get
221 = 145 x 1 + 76
We consider the new divisor 145 and the new remainder 76,and apply the division lemma to get
145 = 76 x 1 + 69
We consider the new divisor 76 and the new remainder 69,and apply the division lemma to get
76 = 69 x 1 + 7
We consider the new divisor 69 and the new remainder 7,and apply the division lemma to get
69 = 7 x 9 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 366 and 8273 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(69,7) = HCF(76,69) = HCF(145,76) = HCF(221,145) = HCF(366,221) = HCF(8273,366) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7108 > 1, we apply the division lemma to 7108 and 1, to get
7108 = 1 x 7108 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7108 is 1
Notice that 1 = HCF(7108,1) .
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Frequently Asked Questions on HCF of 366, 8273, 7108 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, 8273, 7108?
Answer: HCF of 366, 8273, 7108 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 366, 8273, 7108 using Euclid's Algorithm?
Answer: For arbitrary numbers 366, 8273, 7108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
