Highest Common Factor of 2562, 4695 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 2562, 4695 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2562, 4695 is 3 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 2562, 4695 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 2562, 4695 is 3.
HCF(2562, 4695) = 3
HCF of 2562, 4695 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2562, 4695 is 3.
Highest Common Factor of 2562,4695 is 3
Step 1: Since 4695 > 2562, we apply the division lemma to 4695 and 2562, to get
4695 = 2562 x 1 + 2133
Step 2: Since the reminder 2562 ≠ 0, we apply division lemma to 2133 and 2562, to get
2562 = 2133 x 1 + 429
Step 3: We consider the new divisor 2133 and the new remainder 429, and apply the division lemma to get
2133 = 429 x 4 + 417
We consider the new divisor 429 and the new remainder 417,and apply the division lemma to get
429 = 417 x 1 + 12
We consider the new divisor 417 and the new remainder 12,and apply the division lemma to get
417 = 12 x 34 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2562 and 4695 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(417,12) = HCF(429,417) = HCF(2133,429) = HCF(2562,2133) = HCF(4695,2562) .
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Frequently Asked Questions on HCF of 2562, 4695 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 2562, 4695?
Answer: HCF of 2562, 4695 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2562, 4695 using Euclid's Algorithm?
Answer: For arbitrary numbers 2562, 4695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
