Highest Common Factor of 8578, 2693 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 8578, 2693 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8578, 2693 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 8578, 2693 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 8578, 2693 is 1.
HCF(8578, 2693) = 1
HCF of 8578, 2693 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8578, 2693 is 1.
Highest Common Factor of 8578,2693 is 1
Step 1: Since 8578 > 2693, we apply the division lemma to 8578 and 2693, to get
8578 = 2693 x 3 + 499
Step 2: Since the reminder 2693 ≠ 0, we apply division lemma to 499 and 2693, to get
2693 = 499 x 5 + 198
Step 3: We consider the new divisor 499 and the new remainder 198, and apply the division lemma to get
499 = 198 x 2 + 103
We consider the new divisor 198 and the new remainder 103,and apply the division lemma to get
198 = 103 x 1 + 95
We consider the new divisor 103 and the new remainder 95,and apply the division lemma to get
103 = 95 x 1 + 8
We consider the new divisor 95 and the new remainder 8,and apply the division lemma to get
95 = 8 x 11 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8578 and 2693 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(95,8) = HCF(103,95) = HCF(198,103) = HCF(499,198) = HCF(2693,499) = HCF(8578,2693) .
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Frequently Asked Questions on HCF of 8578, 2693 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 8578, 2693?
Answer: HCF of 8578, 2693 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8578, 2693 using Euclid's Algorithm?
Answer: For arbitrary numbers 8578, 2693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
