Highest Common Factor of 226, 362 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 226, 362 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 226, 362 is 2 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 226, 362 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 226, 362 is 2.
HCF(226, 362) = 2
HCF of 226, 362 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 226, 362 is 2.
Highest Common Factor of 226,362 is 2
Step 1: Since 362 > 226, we apply the division lemma to 362 and 226, to get
362 = 226 x 1 + 136
Step 2: Since the reminder 226 ≠ 0, we apply division lemma to 136 and 226, to get
226 = 136 x 1 + 90
Step 3: We consider the new divisor 136 and the new remainder 90, and apply the division lemma to get
136 = 90 x 1 + 46
We consider the new divisor 90 and the new remainder 46,and apply the division lemma to get
90 = 46 x 1 + 44
We consider the new divisor 46 and the new remainder 44,and apply the division lemma to get
46 = 44 x 1 + 2
We consider the new divisor 44 and the new remainder 2,and apply the division lemma to get
44 = 2 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 226 and 362 is 2
Notice that 2 = HCF(44,2) = HCF(46,44) = HCF(90,46) = HCF(136,90) = HCF(226,136) = HCF(362,226) .
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Frequently Asked Questions on HCF of 226, 362 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 226, 362?
Answer: HCF of 226, 362 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 226, 362 using Euclid's Algorithm?
Answer: For arbitrary numbers 226, 362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
