Highest Common Factor of 1052, 2889, 59269 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 1052, 2889, 59269 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1052, 2889, 59269 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 1052, 2889, 59269 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 1052, 2889, 59269 is 1.
HCF(1052, 2889, 59269) = 1
HCF of 1052, 2889, 59269 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1052, 2889, 59269 is 1.
Highest Common Factor of 1052,2889,59269 is 1
Step 1: Since 2889 > 1052, we apply the division lemma to 2889 and 1052, to get
2889 = 1052 x 2 + 785
Step 2: Since the reminder 1052 ≠ 0, we apply division lemma to 785 and 1052, to get
1052 = 785 x 1 + 267
Step 3: We consider the new divisor 785 and the new remainder 267, and apply the division lemma to get
785 = 267 x 2 + 251
We consider the new divisor 267 and the new remainder 251,and apply the division lemma to get
267 = 251 x 1 + 16
We consider the new divisor 251 and the new remainder 16,and apply the division lemma to get
251 = 16 x 15 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1052 and 2889 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(251,16) = HCF(267,251) = HCF(785,267) = HCF(1052,785) = HCF(2889,1052) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 59269 > 1, we apply the division lemma to 59269 and 1, to get
59269 = 1 x 59269 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59269 is 1
Notice that 1 = HCF(59269,1) .
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Frequently Asked Questions on HCF of 1052, 2889, 59269 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 1052, 2889, 59269?
Answer: HCF of 1052, 2889, 59269 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1052, 2889, 59269 using Euclid's Algorithm?
Answer: For arbitrary numbers 1052, 2889, 59269 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
