Highest Common Factor of 1383, 6627 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 1383, 6627 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1383, 6627 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 1383, 6627 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 1383, 6627 is 3.
HCF(1383, 6627) = 3
HCF of 1383, 6627 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1383, 6627 is 3.
Highest Common Factor of 1383,6627 is 3
Step 1: Since 6627 > 1383, we apply the division lemma to 6627 and 1383, to get
6627 = 1383 x 4 + 1095
Step 2: Since the reminder 1383 ≠ 0, we apply division lemma to 1095 and 1383, to get
1383 = 1095 x 1 + 288
Step 3: We consider the new divisor 1095 and the new remainder 288, and apply the division lemma to get
1095 = 288 x 3 + 231
We consider the new divisor 288 and the new remainder 231,and apply the division lemma to get
288 = 231 x 1 + 57
We consider the new divisor 231 and the new remainder 57,and apply the division lemma to get
231 = 57 x 4 + 3
We consider the new divisor 57 and the new remainder 3,and apply the division lemma to get
57 = 3 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1383 and 6627 is 3
Notice that 3 = HCF(57,3) = HCF(231,57) = HCF(288,231) = HCF(1095,288) = HCF(1383,1095) = HCF(6627,1383) .
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Frequently Asked Questions on HCF of 1383, 6627 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 1383, 6627?
Answer: HCF of 1383, 6627 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1383, 6627 using Euclid's Algorithm?
Answer: For arbitrary numbers 1383, 6627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.