Highest Common Factor of 529, 7259 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, 7259 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 529, 7259 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, 7259 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, 7259 is 1.
HCF(529, 7259) = 1
HCF of 529, 7259 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, 7259 is 1.
Highest Common Factor of 529,7259 is 1
Step 1: Since 7259 > 529, we apply the division lemma to 7259 and 529, to get
7259 = 529 x 13 + 382
Step 2: Since the reminder 529 ≠ 0, we apply division lemma to 382 and 529, to get
529 = 382 x 1 + 147
Step 3: We consider the new divisor 382 and the new remainder 147, and apply the division lemma to get
382 = 147 x 2 + 88
We consider the new divisor 147 and the new remainder 88,and apply the division lemma to get
147 = 88 x 1 + 59
We consider the new divisor 88 and the new remainder 59,and apply the division lemma to get
88 = 59 x 1 + 29
We consider the new divisor 59 and the new remainder 29,and apply the division lemma to get
59 = 29 x 2 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 529 and 7259 is 1
Notice that 1 = HCF(29,1) = HCF(59,29) = HCF(88,59) = HCF(147,88) = HCF(382,147) = HCF(529,382) = HCF(7259,529) .
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Frequently Asked Questions on HCF of 529, 7259 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, 7259?
Answer: HCF of 529, 7259 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 529, 7259 using Euclid's Algorithm?
Answer: For arbitrary numbers 529, 7259 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.