Highest Common Factor of 528, 8245 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 528, 8245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 528, 8245 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 528, 8245 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 528, 8245 is 1.
HCF(528, 8245) = 1
HCF of 528, 8245 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 528, 8245 is 1.
Highest Common Factor of 528,8245 is 1
Step 1: Since 8245 > 528, we apply the division lemma to 8245 and 528, to get
8245 = 528 x 15 + 325
Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 325 and 528, to get
528 = 325 x 1 + 203
Step 3: We consider the new divisor 325 and the new remainder 203, and apply the division lemma to get
325 = 203 x 1 + 122
We consider the new divisor 203 and the new remainder 122,and apply the division lemma to get
203 = 122 x 1 + 81
We consider the new divisor 122 and the new remainder 81,and apply the division lemma to get
122 = 81 x 1 + 41
We consider the new divisor 81 and the new remainder 41,and apply the division lemma to get
81 = 41 x 1 + 40
We consider the new divisor 41 and the new remainder 40,and apply the division lemma to get
41 = 40 x 1 + 1
We consider the new divisor 40 and the new remainder 1,and apply the division lemma to get
40 = 1 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 528 and 8245 is 1
Notice that 1 = HCF(40,1) = HCF(41,40) = HCF(81,41) = HCF(122,81) = HCF(203,122) = HCF(325,203) = HCF(528,325) = HCF(8245,528) .
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Frequently Asked Questions on HCF of 528, 8245 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 528, 8245?
Answer: HCF of 528, 8245 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 528, 8245 using Euclid's Algorithm?
Answer: For arbitrary numbers 528, 8245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.