Highest Common Factor of 1436, 2717 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 1436, 2717 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1436, 2717 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 1436, 2717 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 1436, 2717 is 1.
HCF(1436, 2717) = 1
HCF of 1436, 2717 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1436, 2717 is 1.
Highest Common Factor of 1436,2717 is 1
Step 1: Since 2717 > 1436, we apply the division lemma to 2717 and 1436, to get
2717 = 1436 x 1 + 1281
Step 2: Since the reminder 1436 ≠ 0, we apply division lemma to 1281 and 1436, to get
1436 = 1281 x 1 + 155
Step 3: We consider the new divisor 1281 and the new remainder 155, and apply the division lemma to get
1281 = 155 x 8 + 41
We consider the new divisor 155 and the new remainder 41,and apply the division lemma to get
155 = 41 x 3 + 32
We consider the new divisor 41 and the new remainder 32,and apply the division lemma to get
41 = 32 x 1 + 9
We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get
32 = 9 x 3 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1436 and 2717 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(41,32) = HCF(155,41) = HCF(1281,155) = HCF(1436,1281) = HCF(2717,1436) .
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Frequently Asked Questions on HCF of 1436, 2717 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 1436, 2717?
Answer: HCF of 1436, 2717 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1436, 2717 using Euclid's Algorithm?
Answer: For arbitrary numbers 1436, 2717 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.