Highest Common Factor of 569, 926 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 569, 926 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 569, 926 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 569, 926 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 569, 926 is 1.
HCF(569, 926) = 1
HCF of 569, 926 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 569, 926 is 1.
Highest Common Factor of 569,926 is 1
Step 1: Since 926 > 569, we apply the division lemma to 926 and 569, to get
926 = 569 x 1 + 357
Step 2: Since the reminder 569 ≠ 0, we apply division lemma to 357 and 569, to get
569 = 357 x 1 + 212
Step 3: We consider the new divisor 357 and the new remainder 212, and apply the division lemma to get
357 = 212 x 1 + 145
We consider the new divisor 212 and the new remainder 145,and apply the division lemma to get
212 = 145 x 1 + 67
We consider the new divisor 145 and the new remainder 67,and apply the division lemma to get
145 = 67 x 2 + 11
We consider the new divisor 67 and the new remainder 11,and apply the division lemma to get
67 = 11 x 6 + 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 569 and 926 is 1
Notice that 1 = HCF(11,1) = HCF(67,11) = HCF(145,67) = HCF(212,145) = HCF(357,212) = HCF(569,357) = HCF(926,569) .
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Frequently Asked Questions on HCF of 569, 926 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 569, 926?
Answer: HCF of 569, 926 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 569, 926 using Euclid's Algorithm?
Answer: For arbitrary numbers 569, 926 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.