Highest Common Factor of 226, 572, 345, 959 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, 572, 345, 959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 226, 572, 345, 959 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, 572, 345, 959 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, 572, 345, 959 is 1.
HCF(226, 572, 345, 959) = 1
HCF of 226, 572, 345, 959 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, 572, 345, 959 is 1.
Highest Common Factor of 226,572,345,959 is 1
Step 1: Since 572 > 226, we apply the division lemma to 572 and 226, to get
572 = 226 x 2 + 120
Step 2: Since the reminder 226 ≠ 0, we apply division lemma to 120 and 226, to get
226 = 120 x 1 + 106
Step 3: We consider the new divisor 120 and the new remainder 106, and apply the division lemma to get
120 = 106 x 1 + 14
We consider the new divisor 106 and the new remainder 14,and apply the division lemma to get
106 = 14 x 7 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 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 572 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(106,14) = HCF(120,106) = HCF(226,120) = HCF(572,226) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 345 > 2, we apply the division lemma to 345 and 2, to get
345 = 2 x 172 + 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 345 is 1
Notice that 1 = HCF(2,1) = HCF(345,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 959 > 1, we apply the division lemma to 959 and 1, to get
959 = 1 x 959 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 959 is 1
Notice that 1 = HCF(959,1) .
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Frequently Asked Questions on HCF of 226, 572, 345, 959 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, 572, 345, 959?
Answer: HCF of 226, 572, 345, 959 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 226, 572, 345, 959 using Euclid's Algorithm?
Answer: For arbitrary numbers 226, 572, 345, 959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.