Highest Common Factor of 1566, 1335 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 1566, 1335 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1566, 1335 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 1566, 1335 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 1566, 1335 is 3.
HCF(1566, 1335) = 3
HCF of 1566, 1335 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1566, 1335 is 3.
Highest Common Factor of 1566,1335 is 3
Step 1: Since 1566 > 1335, we apply the division lemma to 1566 and 1335, to get
1566 = 1335 x 1 + 231
Step 2: Since the reminder 1335 ≠ 0, we apply division lemma to 231 and 1335, to get
1335 = 231 x 5 + 180
Step 3: We consider the new divisor 231 and the new remainder 180, and apply the division lemma to get
231 = 180 x 1 + 51
We consider the new divisor 180 and the new remainder 51,and apply the division lemma to get
180 = 51 x 3 + 27
We consider the new divisor 51 and the new remainder 27,and apply the division lemma to get
51 = 27 x 1 + 24
We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get
27 = 24 x 1 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1566 and 1335 is 3
Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(51,27) = HCF(180,51) = HCF(231,180) = HCF(1335,231) = HCF(1566,1335) .
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Frequently Asked Questions on HCF of 1566, 1335 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 1566, 1335?
Answer: HCF of 1566, 1335 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1566, 1335 using Euclid's Algorithm?
Answer: For arbitrary numbers 1566, 1335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.