Highest Common Factor of 2652, 4823 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 2652, 4823 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 2652, 4823 is 13 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 2652, 4823 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 2652, 4823 is 13.
HCF(2652, 4823) = 13
HCF of 2652, 4823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2652, 4823 is 13.
Highest Common Factor of 2652,4823 is 13
Step 1: Since 4823 > 2652, we apply the division lemma to 4823 and 2652, to get
4823 = 2652 x 1 + 2171
Step 2: Since the reminder 2652 ≠ 0, we apply division lemma to 2171 and 2652, to get
2652 = 2171 x 1 + 481
Step 3: We consider the new divisor 2171 and the new remainder 481, and apply the division lemma to get
2171 = 481 x 4 + 247
We consider the new divisor 481 and the new remainder 247,and apply the division lemma to get
481 = 247 x 1 + 234
We consider the new divisor 247 and the new remainder 234,and apply the division lemma to get
247 = 234 x 1 + 13
We consider the new divisor 234 and the new remainder 13,and apply the division lemma to get
234 = 13 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 2652 and 4823 is 13
Notice that 13 = HCF(234,13) = HCF(247,234) = HCF(481,247) = HCF(2171,481) = HCF(2652,2171) = HCF(4823,2652) .
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Frequently Asked Questions on HCF of 2652, 4823 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 2652, 4823?
Answer: HCF of 2652, 4823 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2652, 4823 using Euclid's Algorithm?
Answer: For arbitrary numbers 2652, 4823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.