Highest Common Factor of 869, 269, 282 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 869, 269, 282 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 869, 269, 282 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 869, 269, 282 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 869, 269, 282 is 1.
HCF(869, 269, 282) = 1
HCF of 869, 269, 282 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 869, 269, 282 is 1.
Highest Common Factor of 869,269,282 is 1
Step 1: Since 869 > 269, we apply the division lemma to 869 and 269, to get
869 = 269 x 3 + 62
Step 2: Since the reminder 269 ≠ 0, we apply division lemma to 62 and 269, to get
269 = 62 x 4 + 21
Step 3: We consider the new divisor 62 and the new remainder 21, and apply the division lemma to get
62 = 21 x 2 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 869 and 269 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(62,21) = HCF(269,62) = HCF(869,269) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 282 > 1, we apply the division lemma to 282 and 1, to get
282 = 1 x 282 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 282 is 1
Notice that 1 = HCF(282,1) .
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Frequently Asked Questions on HCF of 869, 269, 282 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 869, 269, 282?
Answer: HCF of 869, 269, 282 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 869, 269, 282 using Euclid's Algorithm?
Answer: For arbitrary numbers 869, 269, 282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.