Highest Common Factor of 226, 600, 296, 561 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, 600, 296, 561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 226, 600, 296, 561 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 226, 600, 296, 561 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, 600, 296, 561 is 1.
HCF(226, 600, 296, 561) = 1
HCF of 226, 600, 296, 561 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, 600, 296, 561 is 1.
Highest Common Factor of 226,600,296,561 is 1
Step 1: Since 600 > 226, we apply the division lemma to 600 and 226, to get
600 = 226 x 2 + 148
Step 2: Since the reminder 226 ≠ 0, we apply division lemma to 148 and 226, to get
226 = 148 x 1 + 78
Step 3: We consider the new divisor 148 and the new remainder 78, and apply the division lemma to get
148 = 78 x 1 + 70
We consider the new divisor 78 and the new remainder 70,and apply the division lemma to get
78 = 70 x 1 + 8
We consider the new divisor 70 and the new remainder 8,and apply the division lemma to get
70 = 8 x 8 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 226 and 600 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(70,8) = HCF(78,70) = HCF(148,78) = HCF(226,148) = HCF(600,226) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 296 > 2, we apply the division lemma to 296 and 2, to get
296 = 2 x 148 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 296 is 2
Notice that 2 = HCF(296,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 561 > 2, we apply the division lemma to 561 and 2, to get
561 = 2 x 280 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 561 is 1
Notice that 1 = HCF(2,1) = HCF(561,2) .
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Frequently Asked Questions on HCF of 226, 600, 296, 561 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, 600, 296, 561?
Answer: HCF of 226, 600, 296, 561 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 226, 600, 296, 561 using Euclid's Algorithm?
Answer: For arbitrary numbers 226, 600, 296, 561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.