Highest Common Factor of 4248, 3638 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 4248, 3638 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4248, 3638 is 2 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 4248, 3638 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 4248, 3638 is 2.
HCF(4248, 3638) = 2
HCF of 4248, 3638 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4248, 3638 is 2.
Highest Common Factor of 4248,3638 is 2
Step 1: Since 4248 > 3638, we apply the division lemma to 4248 and 3638, to get
4248 = 3638 x 1 + 610
Step 2: Since the reminder 3638 ≠ 0, we apply division lemma to 610 and 3638, to get
3638 = 610 x 5 + 588
Step 3: We consider the new divisor 610 and the new remainder 588, and apply the division lemma to get
610 = 588 x 1 + 22
We consider the new divisor 588 and the new remainder 22,and apply the division lemma to get
588 = 22 x 26 + 16
We consider the new divisor 22 and the new remainder 16,and apply the division lemma to get
22 = 16 x 1 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4248 and 3638 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(588,22) = HCF(610,588) = HCF(3638,610) = HCF(4248,3638) .
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Frequently Asked Questions on HCF of 4248, 3638 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 4248, 3638?
Answer: HCF of 4248, 3638 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4248, 3638 using Euclid's Algorithm?
Answer: For arbitrary numbers 4248, 3638 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.