Highest Common Factor of 2573, 8208 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 2573, 8208 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2573, 8208 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 2573, 8208 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 2573, 8208 is 1.
HCF(2573, 8208) = 1
HCF of 2573, 8208 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2573, 8208 is 1.
Highest Common Factor of 2573,8208 is 1
Step 1: Since 8208 > 2573, we apply the division lemma to 8208 and 2573, to get
8208 = 2573 x 3 + 489
Step 2: Since the reminder 2573 ≠ 0, we apply division lemma to 489 and 2573, to get
2573 = 489 x 5 + 128
Step 3: We consider the new divisor 489 and the new remainder 128, and apply the division lemma to get
489 = 128 x 3 + 105
We consider the new divisor 128 and the new remainder 105,and apply the division lemma to get
128 = 105 x 1 + 23
We consider the new divisor 105 and the new remainder 23,and apply the division lemma to get
105 = 23 x 4 + 13
We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get
23 = 13 x 1 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2573 and 8208 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(105,23) = HCF(128,105) = HCF(489,128) = HCF(2573,489) = HCF(8208,2573) .
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Frequently Asked Questions on HCF of 2573, 8208 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 2573, 8208?
Answer: HCF of 2573, 8208 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2573, 8208 using Euclid's Algorithm?
Answer: For arbitrary numbers 2573, 8208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.