Highest Common Factor of 569, 973, 875 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, 973, 875 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 569, 973, 875 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, 973, 875 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, 973, 875 is 1.
HCF(569, 973, 875) = 1
HCF of 569, 973, 875 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, 973, 875 is 1.
Highest Common Factor of 569,973,875 is 1
Step 1: Since 973 > 569, we apply the division lemma to 973 and 569, to get
973 = 569 x 1 + 404
Step 2: Since the reminder 569 ≠ 0, we apply division lemma to 404 and 569, to get
569 = 404 x 1 + 165
Step 3: We consider the new divisor 404 and the new remainder 165, and apply the division lemma to get
404 = 165 x 2 + 74
We consider the new divisor 165 and the new remainder 74,and apply the division lemma to get
165 = 74 x 2 + 17
We consider the new divisor 74 and the new remainder 17,and apply the division lemma to get
74 = 17 x 4 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 569 and 973 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(74,17) = HCF(165,74) = HCF(404,165) = HCF(569,404) = HCF(973,569) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 875 > 1, we apply the division lemma to 875 and 1, to get
875 = 1 x 875 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 875 is 1
Notice that 1 = HCF(875,1) .
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Frequently Asked Questions on HCF of 569, 973, 875 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, 973, 875?
Answer: HCF of 569, 973, 875 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 569, 973, 875 using Euclid's Algorithm?
Answer: For arbitrary numbers 569, 973, 875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.