Highest Common Factor of 529, 824 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 529, 824 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 529, 824 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 529, 824 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 529, 824 is 1.
HCF(529, 824) = 1
HCF of 529, 824 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 529, 824 is 1.
Highest Common Factor of 529,824 is 1
Step 1: Since 824 > 529, we apply the division lemma to 824 and 529, to get
824 = 529 x 1 + 295
Step 2: Since the reminder 529 ≠ 0, we apply division lemma to 295 and 529, to get
529 = 295 x 1 + 234
Step 3: We consider the new divisor 295 and the new remainder 234, and apply the division lemma to get
295 = 234 x 1 + 61
We consider the new divisor 234 and the new remainder 61,and apply the division lemma to get
234 = 61 x 3 + 51
We consider the new divisor 61 and the new remainder 51,and apply the division lemma to get
61 = 51 x 1 + 10
We consider the new divisor 51 and the new remainder 10,and apply the division lemma to get
51 = 10 x 5 + 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 529 and 824 is 1
Notice that 1 = HCF(10,1) = HCF(51,10) = HCF(61,51) = HCF(234,61) = HCF(295,234) = HCF(529,295) = HCF(824,529) .
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Frequently Asked Questions on HCF of 529, 824 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 529, 824?
Answer: HCF of 529, 824 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 529, 824 using Euclid's Algorithm?
Answer: For arbitrary numbers 529, 824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
