Highest Common Factor of 283, 959 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 283, 959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 283, 959 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 283, 959 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 283, 959 is 1.
HCF(283, 959) = 1
HCF of 283, 959 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 283, 959 is 1.
Highest Common Factor of 283,959 is 1
Step 1: Since 959 > 283, we apply the division lemma to 959 and 283, to get
959 = 283 x 3 + 110
Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 110 and 283, to get
283 = 110 x 2 + 63
Step 3: We consider the new divisor 110 and the new remainder 63, and apply the division lemma to get
110 = 63 x 1 + 47
We consider the new divisor 63 and the new remainder 47,and apply the division lemma to get
63 = 47 x 1 + 16
We consider the new divisor 47 and the new remainder 16,and apply the division lemma to get
47 = 16 x 2 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 283 and 959 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(47,16) = HCF(63,47) = HCF(110,63) = HCF(283,110) = HCF(959,283) .
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Frequently Asked Questions on HCF of 283, 959 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 283, 959?
Answer: HCF of 283, 959 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 283, 959 using Euclid's Algorithm?
Answer: For arbitrary numbers 283, 959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.