Highest Common Factor of 1439, 2569 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 1439, 2569 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1439, 2569 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 1439, 2569 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 1439, 2569 is 1.
HCF(1439, 2569) = 1
HCF of 1439, 2569 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1439, 2569 is 1.
Highest Common Factor of 1439,2569 is 1
Step 1: Since 2569 > 1439, we apply the division lemma to 2569 and 1439, to get
2569 = 1439 x 1 + 1130
Step 2: Since the reminder 1439 ≠ 0, we apply division lemma to 1130 and 1439, to get
1439 = 1130 x 1 + 309
Step 3: We consider the new divisor 1130 and the new remainder 309, and apply the division lemma to get
1130 = 309 x 3 + 203
We consider the new divisor 309 and the new remainder 203,and apply the division lemma to get
309 = 203 x 1 + 106
We consider the new divisor 203 and the new remainder 106,and apply the division lemma to get
203 = 106 x 1 + 97
We consider the new divisor 106 and the new remainder 97,and apply the division lemma to get
106 = 97 x 1 + 9
We consider the new divisor 97 and the new remainder 9,and apply the division lemma to get
97 = 9 x 10 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 1439 and 2569 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(97,9) = HCF(106,97) = HCF(203,106) = HCF(309,203) = HCF(1130,309) = HCF(1439,1130) = HCF(2569,1439) .
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Frequently Asked Questions on HCF of 1439, 2569 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 1439, 2569?
Answer: HCF of 1439, 2569 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1439, 2569 using Euclid's Algorithm?
Answer: For arbitrary numbers 1439, 2569 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.