Highest Common Factor of 367, 562, 41 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 367, 562, 41 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 367, 562, 41 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 367, 562, 41 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 367, 562, 41 is 1.
HCF(367, 562, 41) = 1
HCF of 367, 562, 41 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 367, 562, 41 is 1.
Highest Common Factor of 367,562,41 is 1
Step 1: Since 562 > 367, we apply the division lemma to 562 and 367, to get
562 = 367 x 1 + 195
Step 2: Since the reminder 367 ≠ 0, we apply division lemma to 195 and 367, to get
367 = 195 x 1 + 172
Step 3: We consider the new divisor 195 and the new remainder 172, and apply the division lemma to get
195 = 172 x 1 + 23
We consider the new divisor 172 and the new remainder 23,and apply the division lemma to get
172 = 23 x 7 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 367 and 562 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(172,23) = HCF(195,172) = HCF(367,195) = HCF(562,367) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 41 > 1, we apply the division lemma to 41 and 1, to get
41 = 1 x 41 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41 is 1
Notice that 1 = HCF(41,1) .
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Frequently Asked Questions on HCF of 367, 562, 41 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 367, 562, 41?
Answer: HCF of 367, 562, 41 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 367, 562, 41 using Euclid's Algorithm?
Answer: For arbitrary numbers 367, 562, 41 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.