Highest Common Factor of 589, 921, 524 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 589, 921, 524 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 589, 921, 524 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 589, 921, 524 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 589, 921, 524 is 1.
HCF(589, 921, 524) = 1
HCF of 589, 921, 524 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 589, 921, 524 is 1.
Highest Common Factor of 589,921,524 is 1
Step 1: Since 921 > 589, we apply the division lemma to 921 and 589, to get
921 = 589 x 1 + 332
Step 2: Since the reminder 589 ≠ 0, we apply division lemma to 332 and 589, to get
589 = 332 x 1 + 257
Step 3: We consider the new divisor 332 and the new remainder 257, and apply the division lemma to get
332 = 257 x 1 + 75
We consider the new divisor 257 and the new remainder 75,and apply the division lemma to get
257 = 75 x 3 + 32
We consider the new divisor 75 and the new remainder 32,and apply the division lemma to get
75 = 32 x 2 + 11
We consider the new divisor 32 and the new remainder 11,and apply the division lemma to get
32 = 11 x 2 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 589 and 921 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(32,11) = HCF(75,32) = HCF(257,75) = HCF(332,257) = HCF(589,332) = HCF(921,589) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 524 > 1, we apply the division lemma to 524 and 1, to get
524 = 1 x 524 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 524 is 1
Notice that 1 = HCF(524,1) .
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Frequently Asked Questions on HCF of 589, 921, 524 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 589, 921, 524?
Answer: HCF of 589, 921, 524 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 589, 921, 524 using Euclid's Algorithm?
Answer: For arbitrary numbers 589, 921, 524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.