Highest Common Factor of 4557, 1366 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 4557, 1366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4557, 1366 is 1 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 4557, 1366 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 4557, 1366 is 1.
HCF(4557, 1366) = 1
HCF of 4557, 1366 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4557, 1366 is 1.
Highest Common Factor of 4557,1366 is 1
Step 1: Since 4557 > 1366, we apply the division lemma to 4557 and 1366, to get
4557 = 1366 x 3 + 459
Step 2: Since the reminder 1366 ≠ 0, we apply division lemma to 459 and 1366, to get
1366 = 459 x 2 + 448
Step 3: We consider the new divisor 459 and the new remainder 448, and apply the division lemma to get
459 = 448 x 1 + 11
We consider the new divisor 448 and the new remainder 11,and apply the division lemma to get
448 = 11 x 40 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4557 and 1366 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(448,11) = HCF(459,448) = HCF(1366,459) = HCF(4557,1366) .
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Frequently Asked Questions on HCF of 4557, 1366 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 4557, 1366?
Answer: HCF of 4557, 1366 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4557, 1366 using Euclid's Algorithm?
Answer: For arbitrary numbers 4557, 1366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.