Highest Common Factor of 5869, 2169 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 5869, 2169 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5869, 2169 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 5869, 2169 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 5869, 2169 is 1.
HCF(5869, 2169) = 1
HCF of 5869, 2169 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5869, 2169 is 1.
Highest Common Factor of 5869,2169 is 1
Step 1: Since 5869 > 2169, we apply the division lemma to 5869 and 2169, to get
5869 = 2169 x 2 + 1531
Step 2: Since the reminder 2169 ≠ 0, we apply division lemma to 1531 and 2169, to get
2169 = 1531 x 1 + 638
Step 3: We consider the new divisor 1531 and the new remainder 638, and apply the division lemma to get
1531 = 638 x 2 + 255
We consider the new divisor 638 and the new remainder 255,and apply the division lemma to get
638 = 255 x 2 + 128
We consider the new divisor 255 and the new remainder 128,and apply the division lemma to get
255 = 128 x 1 + 127
We consider the new divisor 128 and the new remainder 127,and apply the division lemma to get
128 = 127 x 1 + 1
We consider the new divisor 127 and the new remainder 1,and apply the division lemma to get
127 = 1 x 127 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5869 and 2169 is 1
Notice that 1 = HCF(127,1) = HCF(128,127) = HCF(255,128) = HCF(638,255) = HCF(1531,638) = HCF(2169,1531) = HCF(5869,2169) .
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Frequently Asked Questions on HCF of 5869, 2169 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 5869, 2169?
Answer: HCF of 5869, 2169 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5869, 2169 using Euclid's Algorithm?
Answer: For arbitrary numbers 5869, 2169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.