Highest Common Factor of 8653, 2942 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 8653, 2942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8653, 2942 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 8653, 2942 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 8653, 2942 is 1.
HCF(8653, 2942) = 1
HCF of 8653, 2942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8653, 2942 is 1.
Highest Common Factor of 8653,2942 is 1
Step 1: Since 8653 > 2942, we apply the division lemma to 8653 and 2942, to get
8653 = 2942 x 2 + 2769
Step 2: Since the reminder 2942 ≠ 0, we apply division lemma to 2769 and 2942, to get
2942 = 2769 x 1 + 173
Step 3: We consider the new divisor 2769 and the new remainder 173, and apply the division lemma to get
2769 = 173 x 16 + 1
We consider the new divisor 173 and the new remainder 1, and apply the division lemma to get
173 = 1 x 173 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8653 and 2942 is 1
Notice that 1 = HCF(173,1) = HCF(2769,173) = HCF(2942,2769) = HCF(8653,2942) .
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Frequently Asked Questions on HCF of 8653, 2942 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 8653, 2942?
Answer: HCF of 8653, 2942 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8653, 2942 using Euclid's Algorithm?
Answer: For arbitrary numbers 8653, 2942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.